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Finding the Fourth Proportional to 721.76, 996.04 and 411.24

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Solution

The fourth proportional to 721.76, 996.04 and 411.24 is: 567.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.76 : 996.04 = 411.24 : x
  2. Step 2: Convert to fraction form
    721.76/996.04 = 411.24/x
  3. Step 3: Cross multiply
    721.76x = 996.04 × 411.24
  4. Step 4: Simplify right side
    721.76x = 409,611.49
  5. Step 5: Solve for x
    x = 409,611.49/721.76
  6. Step 6: Final answer
    x = 567.52

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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.