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Finding the Fourth Proportional to 415.05, 572.85 and 284.25

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Solution

The fourth proportional to 415.05, 572.85 and 284.25 is: 392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.05 : 572.85 = 284.25 : x
  2. Step 2: Convert to fraction form
    415.05/572.85 = 284.25/x
  3. Step 3: Cross multiply
    415.05x = 572.85 × 284.25
  4. Step 4: Simplify right side
    415.05x = 162,832.61
  5. Step 5: Solve for x
    x = 162,832.61/415.05
  6. Step 6: Final answer
    x = 392.32

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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.