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Finding the Fourth Proportional to 633.38, 949.76 and 267.97

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Solution

The fourth proportional to 633.38, 949.76 and 267.97 is: 401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.38 : 949.76 = 267.97 : x
  2. Step 2: Convert to fraction form
    633.38/949.76 = 267.97/x
  3. Step 3: Cross multiply
    633.38x = 949.76 × 267.97
  4. Step 4: Simplify right side
    633.38x = 254,505.48
  5. Step 5: Solve for x
    x = 254,505.48/633.38
  6. Step 6: Final answer
    x = 401.82

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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.