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Finding the Fourth Proportional to 721.28, 995.82 and 500.16

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Solution

The fourth proportional to 721.28, 995.82 and 500.16 is: 690.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.28 : 995.82 = 500.16 : x
  2. Step 2: Convert to fraction form
    721.28/995.82 = 500.16/x
  3. Step 3: Cross multiply
    721.28x = 995.82 × 500.16
  4. Step 4: Simplify right side
    721.28x = 498,069.33
  5. Step 5: Solve for x
    x = 498,069.33/721.28
  6. Step 6: Final answer
    x = 690.54

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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.