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Finding the Fourth Proportional to 330.97, 495.78 and 239.85

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Solution

The fourth proportional to 330.97, 495.78 and 239.85 is: 359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.97 : 495.78 = 239.85 : x
  2. Step 2: Convert to fraction form
    330.97/495.78 = 239.85/x
  3. Step 3: Cross multiply
    330.97x = 495.78 × 239.85
  4. Step 4: Simplify right side
    330.97x = 118,912.83
  5. Step 5: Solve for x
    x = 118,912.83/330.97
  6. Step 6: Final answer
    x = 359.29

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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.