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Finding the Fourth Proportional to 542.11, 748.06 and 321.02

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Solution

The fourth proportional to 542.11, 748.06 and 321.02 is: 442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.11 : 748.06 = 321.02 : x
  2. Step 2: Convert to fraction form
    542.11/748.06 = 321.02/x
  3. Step 3: Cross multiply
    542.11x = 748.06 × 321.02
  4. Step 4: Simplify right side
    542.11x = 240,144.49
  5. Step 5: Solve for x
    x = 240,144.49/542.11
  6. Step 6: Final answer
    x = 442.98

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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.