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Finding the Fourth Proportional to 408.78, 563.99 and 234.09

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Solution

The fourth proportional to 408.78, 563.99 and 234.09 is: 322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.78 : 563.99 = 234.09 : x
  2. Step 2: Convert to fraction form
    408.78/563.99 = 234.09/x
  3. Step 3: Cross multiply
    408.78x = 563.99 × 234.09
  4. Step 4: Simplify right side
    408.78x = 132,023.25
  5. Step 5: Solve for x
    x = 132,023.25/408.78
  6. Step 6: Final answer
    x = 322.97

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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.