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The door will fit. Door from an 87-91 will fit also, I have done this. Some interchange books will say a '97 F250/350 door won't fit a '92-96, only due to an extra body line/crease at the bottom portion of a '97 door.
Also I forgot to include F150, 250,350 doors are the same. Just make sure that both are either power or manual depending on what you need for ease of installation although you could swap the guts.