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Finding the Fourth Proportional to 639.67, 960.72 and 476.86

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Solution

The fourth proportional to 639.67, 960.72 and 476.86 is: 716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.67 : 960.72 = 476.86 : x
  2. Step 2: Convert to fraction form
    639.67/960.72 = 476.86/x
  3. Step 3: Cross multiply
    639.67x = 960.72 × 476.86
  4. Step 4: Simplify right side
    639.67x = 458,128.94
  5. Step 5: Solve for x
    x = 458,128.94/639.67
  6. Step 6: Final answer
    x = 716.20

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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.