Answer
$\$620$.
Work Step by Step
Let the original price be $x$.
$30\%$ reduction of the original price is $0.30x$.
The reduced price is $x-0.30x$.
We are given that the reduced price is $\$434$.
Equate both values.
$x-0.30x=\$434$
Factor out $x$.
$(1-0.30)x=\$434$
Simplify.
$(0.70)x=\$434$
Divide both sides by $0.70$.
$\frac{0.70x}{0.70}=\frac{\$434}{0.70}$
Simplify.
$x=\$620$.
