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Finding the Fourth Proportional to 639.97, 959.85 and 229.04

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Solution

The fourth proportional to 639.97, 959.85 and 229.04 is: 343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.97 : 959.85 = 229.04 : x
  2. Step 2: Convert to fraction form
    639.97/959.85 = 229.04/x
  3. Step 3: Cross multiply
    639.97x = 959.85 × 229.04
  4. Step 4: Simplify right side
    639.97x = 219,844.04
  5. Step 5: Solve for x
    x = 219,844.04/639.97
  6. Step 6: Final answer
    x = 343.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.