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Finding the Fourth Proportional to 721.38, 995.82 and 459.74

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Solution

The fourth proportional to 721.38, 995.82 and 459.74 is: 634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.38 : 995.82 = 459.74 : x
  2. Step 2: Convert to fraction form
    721.38/995.82 = 459.74/x
  3. Step 3: Cross multiply
    721.38x = 995.82 × 459.74
  4. Step 4: Simplify right side
    721.38x = 457,818.29
  5. Step 5: Solve for x
    x = 457,818.29/721.38
  6. Step 6: Final answer
    x = 634.64

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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.