Finding the Fourth Proportional to 398.71, 598.02 and 110.17
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Solution
The fourth proportional to 398.71, 598.02 and 110.17 is: 165.24
Step by Step Solution
- Step 1: Write the proportion equation
398.71 : 598.02 = 110.17 : x - Step 2: Convert to fraction form
398.71/598.02 = 110.17/x - Step 3: Cross multiply
398.71x = 598.02 × 110.17 - Step 4: Simplify right side
398.71x = 65,883.86 - Step 5: Solve for x
x = 65,883.86/398.71 - Step 6: Final answer
x = 165.24
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.