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Finding the Fourth Proportional to 546.17, 819.45 and 351.27

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Solution

The fourth proportional to 546.17, 819.45 and 351.27 is: 527.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.17 : 819.45 = 351.27 : x
  2. Step 2: Convert to fraction form
    546.17/819.45 = 351.27/x
  3. Step 3: Cross multiply
    546.17x = 819.45 × 351.27
  4. Step 4: Simplify right side
    546.17x = 287,848.20
  5. Step 5: Solve for x
    x = 287,848.20/546.17
  6. Step 6: Final answer
    x = 527.04

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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.