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Finding the Fourth Proportional to 721.12, 995.14 and 406.38

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Solution

The fourth proportional to 721.12, 995.14 and 406.38 is: 560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.12 : 995.14 = 406.38 : x
  2. Step 2: Convert to fraction form
    721.12/995.14 = 406.38/x
  3. Step 3: Cross multiply
    721.12x = 995.14 × 406.38
  4. Step 4: Simplify right side
    721.12x = 404,408.47
  5. Step 5: Solve for x
    x = 404,408.47/721.12
  6. Step 6: Final answer
    x = 560.81

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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.