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Finding the Fourth Proportional to 723.38, 998.34 and 408.77

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Solution

The fourth proportional to 723.38, 998.34 and 408.77 is: 564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.38 : 998.34 = 408.77 : x
  2. Step 2: Convert to fraction form
    723.38/998.34 = 408.77/x
  3. Step 3: Cross multiply
    723.38x = 998.34 × 408.77
  4. Step 4: Simplify right side
    723.38x = 408,086.45
  5. Step 5: Solve for x
    x = 408,086.45/723.38
  6. Step 6: Final answer
    x = 564.14

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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.