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Finding the Fourth Proportional to 542.24, 812.76 and 267.75

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Solution

The fourth proportional to 542.24, 812.76 and 267.75 is: 401.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.24 : 812.76 = 267.75 : x
  2. Step 2: Convert to fraction form
    542.24/812.76 = 267.75/x
  3. Step 3: Cross multiply
    542.24x = 812.76 × 267.75
  4. Step 4: Simplify right side
    542.24x = 217,616.49
  5. Step 5: Solve for x
    x = 217,616.49/542.24
  6. Step 6: Final answer
    x = 401.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.