The tourists came into the third day in Birmingham with their backs firmly against the wall on 52-2, still trailing by 268 runs, but the batters put up some resistance as overnight opener Azan Awais scored 59.
Shan Masood and Babar Azam then added a partnership 89 for the fourth wicket, with the visiting captain getting to 76 when he was undone by a short ball from paceman Josh Tongue.
Saud Shakeel scored a bright and breezy 29 as Massod went into the 90s but the left-handed fell agonisingly short of a century as he was dismissed by Gus Atkinson for 95.
Pakistan then continued to lose wickets and looked dead and buried at 318-8 but Razaullah was joined by number 10 Mohammad Abbas and pair added an entertaining 121-run partnership in just 123 balls for the ninth wicket.
Razaullah was main contributor as his 81 came from jusy 63 deliveries while Abbas was dismissed for a career-best 42 as Pakistan astonishingly went into the lead and then added a lot more.
Abbas was eventaully out caiught at point off Tongue while Razaullah was the final batter dismissed when spinner Dan Lawrence had the 21-year-old stumped as Pakistan were bowled out for 449.
England should still complete a series clean-sweep as the pitch is still good to bat, but Pakistan will walk away from Test knowing they have a powerful hitter at the bottom.
England completed a clean sweep of victories in the three-match T20I series against Sri Lanka after a convincing eight-wicket win in the final clash at Old Trafford on Sunday.
Pakistan pace bowler Haris Rauf is hoping to earn another opportunity in Test cricket as the national side prepare for their next ICC World Test Championship assignment.
Brendon McCullum has issued a warning to Brydon Carse to get his "house in order" if he wants to resurrect his international career with England.
England Test coach Stephen Fleming will join the white-ball squad for the T20I series against Sri Lanka that starts in Southampton on Tuesday.
