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Finding the Fourth Proportional to 546.90, 819.37 and 469.14

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Solution

The fourth proportional to 546.90, 819.37 and 469.14 is: 702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.90 : 819.37 = 469.14 : x
  2. Step 2: Convert to fraction form
    546.90/819.37 = 469.14/x
  3. Step 3: Cross multiply
    546.90x = 819.37 × 469.14
  4. Step 4: Simplify right side
    546.90x = 384,398.73
  5. Step 5: Solve for x
    x = 384,398.73/546.90
  6. Step 6: Final answer
    x = 702.87

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