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Finding the Fourth Proportional to 542.31, 748.62 and 367.89

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Solution

The fourth proportional to 542.31, 748.62 and 367.89 is: 507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.31 : 748.62 = 367.89 : x
  2. Step 2: Convert to fraction form
    542.31/748.62 = 367.89/x
  3. Step 3: Cross multiply
    542.31x = 748.62 × 367.89
  4. Step 4: Simplify right side
    542.31x = 275,409.81
  5. Step 5: Solve for x
    x = 275,409.81/542.31
  6. Step 6: Final answer
    x = 507.85

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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.