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Finding the Fourth Proportional to 311.60, 429.34 and 237.78

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Solution

The fourth proportional to 311.60, 429.34 and 237.78 is: 327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.60 : 429.34 = 237.78 : x
  2. Step 2: Convert to fraction form
    311.60/429.34 = 237.78/x
  3. Step 3: Cross multiply
    311.60x = 429.34 × 237.78
  4. Step 4: Simplify right side
    311.60x = 102,088.47
  5. Step 5: Solve for x
    x = 102,088.47/311.60
  6. Step 6: Final answer
    x = 327.63

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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.