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Finding the Fourth Proportional to 546.61, 819.60 and 285.97

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Solution

The fourth proportional to 546.61, 819.60 and 285.97 is: 428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.61 : 819.60 = 285.97 : x
  2. Step 2: Convert to fraction form
    546.61/819.60 = 285.97/x
  3. Step 3: Cross multiply
    546.61x = 819.60 × 285.97
  4. Step 4: Simplify right side
    546.61x = 234,381.01
  5. Step 5: Solve for x
    x = 234,381.01/546.61
  6. Step 6: Final answer
    x = 428.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.