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Finding the Fourth Proportional to 512.26, 707.61 and 487.96

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Solution

The fourth proportional to 512.26, 707.61 and 487.96 is: 674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.26 : 707.61 = 487.96 : x
  2. Step 2: Convert to fraction form
    512.26/707.61 = 487.96/x
  3. Step 3: Cross multiply
    512.26x = 707.61 × 487.96
  4. Step 4: Simplify right side
    512.26x = 345,285.38
  5. Step 5: Solve for x
    x = 345,285.38/512.26
  6. Step 6: Final answer
    x = 674.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.