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Finding the Fourth Proportional to 542.98, 747.87 and 469.18

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Solution

The fourth proportional to 542.98, 747.87 and 469.18 is: 646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.98 : 747.87 = 469.18 : x
  2. Step 2: Convert to fraction form
    542.98/747.87 = 469.18/x
  3. Step 3: Cross multiply
    542.98x = 747.87 × 469.18
  4. Step 4: Simplify right side
    542.98x = 350,885.65
  5. Step 5: Solve for x
    x = 350,885.65/542.98
  6. Step 6: Final answer
    x = 646.22

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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.