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Finding the Fourth Proportional to 408.90, 564.33 and 234.25

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Solution

The fourth proportional to 408.90, 564.33 and 234.25 is: 323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.90 : 564.33 = 234.25 : x
  2. Step 2: Convert to fraction form
    408.90/564.33 = 234.25/x
  3. Step 3: Cross multiply
    408.90x = 564.33 × 234.25
  4. Step 4: Simplify right side
    408.90x = 132,194.30
  5. Step 5: Solve for x
    x = 132,194.30/408.90
  6. Step 6: Final answer
    x = 323.29

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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.