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Finding the Fourth Proportional to 721.28, 995.28 and 410.80

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Solution

The fourth proportional to 721.28, 995.28 and 410.80 is: 566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.28 : 995.28 = 410.80 : x
  2. Step 2: Convert to fraction form
    721.28/995.28 = 410.80/x
  3. Step 3: Cross multiply
    721.28x = 995.28 × 410.80
  4. Step 4: Simplify right side
    721.28x = 408,861.02
  5. Step 5: Solve for x
    x = 408,861.02/721.28
  6. Step 6: Final answer
    x = 566.85

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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.