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Finding the Fourth Proportional to 400.38, 551.66 and 267.38

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Solution

The fourth proportional to 400.38, 551.66 and 267.38 is: 368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.38 : 551.66 = 267.38 : x
  2. Step 2: Convert to fraction form
    400.38/551.66 = 267.38/x
  3. Step 3: Cross multiply
    400.38x = 551.66 × 267.38
  4. Step 4: Simplify right side
    400.38x = 147,502.85
  5. Step 5: Solve for x
    x = 147,502.85/400.38
  6. Step 6: Final answer
    x = 368.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.