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Finding the Fourth Proportional to 639.90, 959.24 and 310.64

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Solution

The fourth proportional to 639.90, 959.24 and 310.64 is: 465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.90 : 959.24 = 310.64 : x
  2. Step 2: Convert to fraction form
    639.90/959.24 = 310.64/x
  3. Step 3: Cross multiply
    639.90x = 959.24 × 310.64
  4. Step 4: Simplify right side
    639.90x = 297,974.29
  5. Step 5: Solve for x
    x = 297,974.29/639.90
  6. Step 6: Final answer
    x = 465.66

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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.