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Finding the Fourth Proportional to 267.57, 400.41 and 233.46

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Solution

The fourth proportional to 267.57, 400.41 and 233.46 is: 349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.57 : 400.41 = 233.46 : x
  2. Step 2: Convert to fraction form
    267.57/400.41 = 233.46/x
  3. Step 3: Cross multiply
    267.57x = 400.41 × 233.46
  4. Step 4: Simplify right side
    267.57x = 93,479.72
  5. Step 5: Solve for x
    x = 93,479.72/267.57
  6. Step 6: Final answer
    x = 349.37

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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.