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Finding the Fourth Proportional to 721.52, 995.40 and 459.68

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Solution

The fourth proportional to 721.52, 995.40 and 459.68 is: 634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.52 : 995.40 = 459.68 : x
  2. Step 2: Convert to fraction form
    721.52/995.40 = 459.68/x
  3. Step 3: Cross multiply
    721.52x = 995.40 × 459.68
  4. Step 4: Simplify right side
    721.52x = 457,565.47
  5. Step 5: Solve for x
    x = 457,565.47/721.52
  6. Step 6: Final answer
    x = 634.17

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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.