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Finding the Fourth Proportional to 415.32, 572.17 and 342.06

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Solution

The fourth proportional to 415.32, 572.17 and 342.06 is: 471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.32 : 572.17 = 342.06 : x
  2. Step 2: Convert to fraction form
    415.32/572.17 = 342.06/x
  3. Step 3: Cross multiply
    415.32x = 572.17 × 342.06
  4. Step 4: Simplify right side
    415.32x = 195,716.47
  5. Step 5: Solve for x
    x = 195,716.47/415.32
  6. Step 6: Final answer
    x = 471.24

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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.