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Finding the Fourth Proportional to 641.27, 960.08 and 487.82

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Solution

The fourth proportional to 641.27, 960.08 and 487.82 is: 730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.27 : 960.08 = 487.82 : x
  2. Step 2: Convert to fraction form
    641.27/960.08 = 487.82/x
  3. Step 3: Cross multiply
    641.27x = 960.08 × 487.82
  4. Step 4: Simplify right side
    641.27x = 468,346.23
  5. Step 5: Solve for x
    x = 468,346.23/641.27
  6. Step 6: Final answer
    x = 730.34

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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.