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Finding the Fourth Proportional to 721.74, 996.14 and 459.70

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Solution

The fourth proportional to 721.74, 996.14 and 459.70 is: 634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.74 : 996.14 = 459.70 : x
  2. Step 2: Convert to fraction form
    721.74/996.14 = 459.70/x
  3. Step 3: Cross multiply
    721.74x = 996.14 × 459.70
  4. Step 4: Simplify right side
    721.74x = 457,925.56
  5. Step 5: Solve for x
    x = 457,925.56/721.74
  6. Step 6: Final answer
    x = 634.47

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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.