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Finding the Fourth Proportional to 721.31, 995.49 and 459.68

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Solution

The fourth proportional to 721.31, 995.49 and 459.68 is: 634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.31 : 995.49 = 459.68 : x
  2. Step 2: Convert to fraction form
    721.31/995.49 = 459.68/x
  3. Step 3: Cross multiply
    721.31x = 995.49 × 459.68
  4. Step 4: Simplify right side
    721.31x = 457,601.87
  5. Step 5: Solve for x
    x = 457,601.87/721.31
  6. Step 6: Final answer
    x = 634.41

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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.