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Finding the Fourth Proportional to 721.75, 996.08 and 411.25

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Solution

The fourth proportional to 721.75, 996.08 and 411.25 is: 567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.75 : 996.08 = 411.25 : x
  2. Step 2: Convert to fraction form
    721.75/996.08 = 411.25/x
  3. Step 3: Cross multiply
    721.75x = 996.08 × 411.25
  4. Step 4: Simplify right side
    721.75x = 409,637.90
  5. Step 5: Solve for x
    x = 409,637.90/721.75
  6. Step 6: Final answer
    x = 567.56

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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.