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Finding the Fourth Proportional to 542.07, 748.67 and 367.11

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Solution

The fourth proportional to 542.07, 748.67 and 367.11 is: 507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.07 : 748.67 = 367.11 : x
  2. Step 2: Convert to fraction form
    542.07/748.67 = 367.11/x
  3. Step 3: Cross multiply
    542.07x = 748.67 × 367.11
  4. Step 4: Simplify right side
    542.07x = 274,842.41
  5. Step 5: Solve for x
    x = 274,842.41/542.07
  6. Step 6: Final answer
    x = 507.02

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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.