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Finding the Fourth Proportional to 721.58, 996.45 and 459.14

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Solution

The fourth proportional to 721.58, 996.45 and 459.14 is: 634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.58 : 996.45 = 459.14 : x
  2. Step 2: Convert to fraction form
    721.58/996.45 = 459.14/x
  3. Step 3: Cross multiply
    721.58x = 996.45 × 459.14
  4. Step 4: Simplify right side
    721.58x = 457,510.05
  5. Step 5: Solve for x
    x = 457,510.05/721.58
  6. Step 6: Final answer
    x = 634.04

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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.