The extended warranty on a garage door is $238. if the warranty costs 35% of the purchase price, how much does the garage door itself cost, to the nearest dollar?

We simplify the problem by assigning terms such as below:

Let WC be equal to Warranty Cost.

Let PP be equal to the Purchase Price.

Since it is stated in the problem that the warranty cost is 35% of the purchase price, we can formulate an equation.

The equation is,

PP x 0.35 = WC

PP x 0.35 = $238

Then, we can solve for PP by dividing both sides by 0.35.

PP = $238/0.35

PP = $680

The answer is $680.