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Finding the Fourth Proportional to 639.84, 960.12 and 408.72

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Solution

The fourth proportional to 639.84, 960.12 and 408.72 is: 613.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.84 : 960.12 = 408.72 : x
  2. Step 2: Convert to fraction form
    639.84/960.12 = 408.72/x
  3. Step 3: Cross multiply
    639.84x = 960.12 × 408.72
  4. Step 4: Simplify right side
    639.84x = 392,420.25
  5. Step 5: Solve for x
    x = 392,420.25/639.84
  6. Step 6: Final answer
    x = 613.31

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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.