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Finding the Fourth Proportional to 542.73, 748.65 and 343.19

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Solution

The fourth proportional to 542.73, 748.65 and 343.19 is: 473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.73 : 748.65 = 343.19 : x
  2. Step 2: Convert to fraction form
    542.73/748.65 = 343.19/x
  3. Step 3: Cross multiply
    542.73x = 748.65 × 343.19
  4. Step 4: Simplify right side
    542.73x = 256,932.35
  5. Step 5: Solve for x
    x = 256,932.35/542.73
  6. Step 6: Final answer
    x = 473.41

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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.