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Finding the Fourth Proportional to 542.25, 748.41 and 345.69

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Solution

The fourth proportional to 542.25, 748.41 and 345.69 is: 477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.25 : 748.41 = 345.69 : x
  2. Step 2: Convert to fraction form
    542.25/748.41 = 345.69/x
  3. Step 3: Cross multiply
    542.25x = 748.41 × 345.69
  4. Step 4: Simplify right side
    542.25x = 258,717.85
  5. Step 5: Solve for x
    x = 258,717.85/542.25
  6. Step 6: Final answer
    x = 477.12

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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.