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Finding the Fourth Proportional to 542.21, 747.33 and 495.73

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Solution

The fourth proportional to 542.21, 747.33 and 495.73 is: 683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.21 : 747.33 = 495.73 : x
  2. Step 2: Convert to fraction form
    542.21/747.33 = 495.73/x
  3. Step 3: Cross multiply
    542.21x = 747.33 × 495.73
  4. Step 4: Simplify right side
    542.21x = 370,473.90
  5. Step 5: Solve for x
    x = 370,473.90/542.21
  6. Step 6: Final answer
    x = 683.27

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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.