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Finding the Fourth Proportional to 723.74, 998.86 and 409.13

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Solution

The fourth proportional to 723.74, 998.86 and 409.13 is: 564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.74 : 998.86 = 409.13 : x
  2. Step 2: Convert to fraction form
    723.74/998.86 = 409.13/x
  3. Step 3: Cross multiply
    723.74x = 998.86 × 409.13
  4. Step 4: Simplify right side
    723.74x = 408,662.85
  5. Step 5: Solve for x
    x = 408,662.85/723.74
  6. Step 6: Final answer
    x = 564.66

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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.