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Finding the Fourth Proportional to 721.26, 995.40 and 422.42

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Solution

The fourth proportional to 721.26, 995.40 and 422.42 is: 582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.26 : 995.40 = 422.42 : x
  2. Step 2: Convert to fraction form
    721.26/995.40 = 422.42/x
  3. Step 3: Cross multiply
    721.26x = 995.40 × 422.42
  4. Step 4: Simplify right side
    721.26x = 420,469.78
  5. Step 5: Solve for x
    x = 420,469.78/721.26
  6. Step 6: Final answer
    x = 582.97

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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.