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Finding the Fourth Proportional to 415.16, 572.97 and 240.47

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Solution

The fourth proportional to 415.16, 572.97 and 240.47 is: 331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.16 : 572.97 = 240.47 : x
  2. Step 2: Convert to fraction form
    415.16/572.97 = 240.47/x
  3. Step 3: Cross multiply
    415.16x = 572.97 × 240.47
  4. Step 4: Simplify right side
    415.16x = 137,782.10
  5. Step 5: Solve for x
    x = 137,782.10/415.16
  6. Step 6: Final answer
    x = 331.88

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Why These Related Problems?

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