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Finding the Fourth Proportional to 721.53, 995.49 and 459.50

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Solution

The fourth proportional to 721.53, 995.49 and 459.50 is: 633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.53 : 995.49 = 459.50 : x
  2. Step 2: Convert to fraction form
    721.53/995.49 = 459.50/x
  3. Step 3: Cross multiply
    721.53x = 995.49 × 459.50
  4. Step 4: Simplify right side
    721.53x = 457,422.68
  5. Step 5: Solve for x
    x = 457,422.68/721.53
  6. Step 6: Final answer
    x = 633.96

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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.