fire punch isn't a TM in platinum.
There is a move tutor who will teach it to your Pokemon. it is the tutor on the route west of pastoria city
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There is no Arcanine in Pokemon Platinum. You must find a Growlithe and evolve it with a fire stone. You can find Growlithe in Route 201 and 202 with Pokemon FireRed in your GBA slot.
There are 18 Fire Attacks in Pokemon Diamond, Pearl and Platinum.
there are 2 ways. first, migrate it. second insert the fire red and Pokemon platinum, then on Pokemon platinum go to route 201 or 202 and you would be able to catch it without migrating it.
You can't get the Pokemon in Pokemon Platinum.
At the move tutor.