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Finding the Fourth Proportional to 415.32, 572.58 and 284.46

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Solution

The fourth proportional to 415.32, 572.58 and 284.46 is: 392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.32 : 572.58 = 284.46 : x
  2. Step 2: Convert to fraction form
    415.32/572.58 = 284.46/x
  3. Step 3: Cross multiply
    415.32x = 572.58 × 284.46
  4. Step 4: Simplify right side
    415.32x = 162,876.11
  5. Step 5: Solve for x
    x = 162,876.11/415.32
  6. Step 6: Final answer
    x = 392.17

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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.