1. **State the problem:** Solve the equation $$\frac{x^*}{0.2} = 3.2$$ for $x^*$. 2. **Formula and rules:** To isolate $x^*$, multiply both sides of the equation by $0.2$ to cancel the denominator. 3. **Intermediate work:** $$\frac{x^*}{0.2} = 3.2$$ Multiply both sides by $0.2$: $$\cancel{0.2} \times \frac{x^*}{\cancel{0.2}} = 3.2 \times 0.2$$ 4. **Simplify:** $$x^* = 3.2 \times 0.2$$ Calculate the right side: $$x^* = 0.64$$ 5. **Answer:** The solution is $$x^* = 0.64$$.