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Finding the Fourth Proportional to 723.62, 998.69 and 408.95

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Solution

The fourth proportional to 723.62, 998.69 and 408.95 is: 564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.62 : 998.69 = 408.95 : x
  2. Step 2: Convert to fraction form
    723.62/998.69 = 408.95/x
  3. Step 3: Cross multiply
    723.62x = 998.69 × 408.95
  4. Step 4: Simplify right side
    723.62x = 408,414.28
  5. Step 5: Solve for x
    x = 408,414.28/723.62
  6. Step 6: Final answer
    x = 564.40

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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.