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Finding the Fourth Proportional to 546.52, 753.62 and 429.88

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Solution

The fourth proportional to 546.52, 753.62 and 429.88 is: 592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.52 : 753.62 = 429.88 : x
  2. Step 2: Convert to fraction form
    546.52/753.62 = 429.88/x
  3. Step 3: Cross multiply
    546.52x = 753.62 × 429.88
  4. Step 4: Simplify right side
    546.52x = 323,966.17
  5. Step 5: Solve for x
    x = 323,966.17/546.52
  6. Step 6: Final answer
    x = 592.78

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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.