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Finding the Fourth Proportional to 542.22, 748.17 and 345.48

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Solution

The fourth proportional to 542.22, 748.17 and 345.48 is: 476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.22 : 748.17 = 345.48 : x
  2. Step 2: Convert to fraction form
    542.22/748.17 = 345.48/x
  3. Step 3: Cross multiply
    542.22x = 748.17 × 345.48
  4. Step 4: Simplify right side
    542.22x = 258,477.77
  5. Step 5: Solve for x
    x = 258,477.77/542.22
  6. Step 6: Final answer
    x = 476.70

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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.