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Finding the Fourth Proportional to 414.72, 572.31 and 240.08

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Solution

The fourth proportional to 414.72, 572.31 and 240.08 is: 331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.72 : 572.31 = 240.08 : x
  2. Step 2: Convert to fraction form
    414.72/572.31 = 240.08/x
  3. Step 3: Cross multiply
    414.72x = 572.31 × 240.08
  4. Step 4: Simplify right side
    414.72x = 137,397.32
  5. Step 5: Solve for x
    x = 137,397.32/414.72
  6. Step 6: Final answer
    x = 331.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.