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Finding the Fourth Proportional to 331.20, 496.20 and 279.60

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Solution

The fourth proportional to 331.20, 496.20 and 279.60 is: 418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.20 : 496.20 = 279.60 : x
  2. Step 2: Convert to fraction form
    331.20/496.20 = 279.60/x
  3. Step 3: Cross multiply
    331.20x = 496.20 × 279.60
  4. Step 4: Simplify right side
    331.20x = 138,737.52
  5. Step 5: Solve for x
    x = 138,737.52/331.20
  6. Step 6: Final answer
    x = 418.89

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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.