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Finding the Fourth Proportional to 721.88, 996.24 and 411.38

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Solution

The fourth proportional to 721.88, 996.24 and 411.38 is: 567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.88 : 996.24 = 411.38 : x
  2. Step 2: Convert to fraction form
    721.88/996.24 = 411.38/x
  3. Step 3: Cross multiply
    721.88x = 996.24 × 411.38
  4. Step 4: Simplify right side
    721.88x = 409,828.23
  5. Step 5: Solve for x
    x = 409,828.23/721.88
  6. Step 6: Final answer
    x = 567.73

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Half scale
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Double scale
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1.5x scale

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.