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Finding the Fourth Proportional to 546.92, 819.96 and 254.60

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Solution

The fourth proportional to 546.92, 819.96 and 254.60 is: 381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.92 : 819.96 = 254.60 : x
  2. Step 2: Convert to fraction form
    546.92/819.96 = 254.60/x
  3. Step 3: Cross multiply
    546.92x = 819.96 × 254.60
  4. Step 4: Simplify right side
    546.92x = 208,761.82
  5. Step 5: Solve for x
    x = 208,761.82/546.92
  6. Step 6: Final answer
    x = 381.70

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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.