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Finding the Fourth Proportional to 723.64, 998.38 and 408.86

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Solution

The fourth proportional to 723.64, 998.38 and 408.86 is: 564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.64 : 998.38 = 408.86 : x
  2. Step 2: Convert to fraction form
    723.64/998.38 = 408.86/x
  3. Step 3: Cross multiply
    723.64x = 998.38 × 408.86
  4. Step 4: Simplify right side
    723.64x = 408,197.65
  5. Step 5: Solve for x
    x = 408,197.65/723.64
  6. Step 6: Final answer
    x = 564.09

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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.