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Finding the Fourth Proportional to 542.89, 747.59 and 385.55

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Solution

The fourth proportional to 542.89, 747.59 and 385.55 is: 530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.89 : 747.59 = 385.55 : x
  2. Step 2: Convert to fraction form
    542.89/747.59 = 385.55/x
  3. Step 3: Cross multiply
    542.89x = 747.59 × 385.55
  4. Step 4: Simplify right side
    542.89x = 288,233.32
  5. Step 5: Solve for x
    x = 288,233.32/542.89
  6. Step 6: Final answer
    x = 530.92

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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.