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Finding the Fourth Proportional to 639.71, 959.53 and 292.90

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Solution

The fourth proportional to 639.71, 959.53 and 292.90 is: 439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.71 : 959.53 = 292.90 : x
  2. Step 2: Convert to fraction form
    639.71/959.53 = 292.90/x
  3. Step 3: Cross multiply
    639.71x = 959.53 × 292.90
  4. Step 4: Simplify right side
    639.71x = 281,046.34
  5. Step 5: Solve for x
    x = 281,046.34/639.71
  6. Step 6: Final answer
    x = 439.33

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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.