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Finding the Fourth Proportional to 408.86, 564.34 and 269.09

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Solution

The fourth proportional to 408.86, 564.34 and 269.09 is: 371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.86 : 564.34 = 269.09 : x
  2. Step 2: Convert to fraction form
    408.86/564.34 = 269.09/x
  3. Step 3: Cross multiply
    408.86x = 564.34 × 269.09
  4. Step 4: Simplify right side
    408.86x = 151,855.43
  5. Step 5: Solve for x
    x = 151,855.43/408.86
  6. Step 6: Final answer
    x = 371.42

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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.