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Finding the Fourth Proportional to 542.25, 748.56 and 355.77

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Solution

The fourth proportional to 542.25, 748.56 and 355.77 is: 491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.25 : 748.56 = 355.77 : x
  2. Step 2: Convert to fraction form
    542.25/748.56 = 355.77/x
  3. Step 3: Cross multiply
    542.25x = 748.56 × 355.77
  4. Step 4: Simplify right side
    542.25x = 266,315.19
  5. Step 5: Solve for x
    x = 266,315.19/542.25
  6. Step 6: Final answer
    x = 491.13

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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.