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Finding the Fourth Proportional to 542.76, 748.95 and 321.68

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Solution

The fourth proportional to 542.76, 748.95 and 321.68 is: 443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.76 : 748.95 = 321.68 : x
  2. Step 2: Convert to fraction form
    542.76/748.95 = 321.68/x
  3. Step 3: Cross multiply
    542.76x = 748.95 × 321.68
  4. Step 4: Simplify right side
    542.76x = 240,918.49
  5. Step 5: Solve for x
    x = 240,918.49/542.76
  6. Step 6: Final answer
    x = 443.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.