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Finding the Fourth Proportional to 721.12, 995.19 and 406.40

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Solution

The fourth proportional to 721.12, 995.19 and 406.40 is: 560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.12 : 995.19 = 406.40 : x
  2. Step 2: Convert to fraction form
    721.12/995.19 = 406.40/x
  3. Step 3: Cross multiply
    721.12x = 995.19 × 406.40
  4. Step 4: Simplify right side
    721.12x = 404,445.22
  5. Step 5: Solve for x
    x = 404,445.22/721.12
  6. Step 6: Final answer
    x = 560.86

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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.