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Finding the Fourth Proportional to 415.04, 572.92 and 284.12

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Solution

The fourth proportional to 415.04, 572.92 and 284.12 is: 392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.04 : 572.92 = 284.12 : x
  2. Step 2: Convert to fraction form
    415.04/572.92 = 284.12/x
  3. Step 3: Cross multiply
    415.04x = 572.92 × 284.12
  4. Step 4: Simplify right side
    415.04x = 162,778.03
  5. Step 5: Solve for x
    x = 162,778.03/415.04
  6. Step 6: Final answer
    x = 392.20

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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.