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Finding the Fourth Proportional to 311.57, 466.22 and 268.73

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Solution

The fourth proportional to 311.57, 466.22 and 268.73 is: 402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.57 : 466.22 = 268.73 : x
  2. Step 2: Convert to fraction form
    311.57/466.22 = 268.73/x
  3. Step 3: Cross multiply
    311.57x = 466.22 × 268.73
  4. Step 4: Simplify right side
    311.57x = 125,283.63
  5. Step 5: Solve for x
    x = 125,283.63/311.57
  6. Step 6: Final answer
    x = 402.11

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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.