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Finding the Fourth Proportional to 542.69, 748.84 and 321.62

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Solution

The fourth proportional to 542.69, 748.84 and 321.62 is: 443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.69 : 748.84 = 321.62 : x
  2. Step 2: Convert to fraction form
    542.69/748.84 = 321.62/x
  3. Step 3: Cross multiply
    542.69x = 748.84 × 321.62
  4. Step 4: Simplify right side
    542.69x = 240,841.92
  5. Step 5: Solve for x
    x = 240,841.92/542.69
  6. Step 6: Final answer
    x = 443.79

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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.