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Finding the Fourth Proportional to 542.75, 749.61 and 367.79

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Solution

The fourth proportional to 542.75, 749.61 and 367.79 is: 507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 749.61 = 367.79 : x
  2. Step 2: Convert to fraction form
    542.75/749.61 = 367.79/x
  3. Step 3: Cross multiply
    542.75x = 749.61 × 367.79
  4. Step 4: Simplify right side
    542.75x = 275,697.22
  5. Step 5: Solve for x
    x = 275,697.22/542.75
  6. Step 6: Final answer
    x = 507.96

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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.