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Finding the Fourth Proportional to 408.90, 564.28 and 234.24

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Solution

The fourth proportional to 408.90, 564.28 and 234.24 is: 323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.90 : 564.28 = 234.24 : x
  2. Step 2: Convert to fraction form
    408.90/564.28 = 234.24/x
  3. Step 3: Cross multiply
    408.90x = 564.28 × 234.24
  4. Step 4: Simplify right side
    408.90x = 132,176.95
  5. Step 5: Solve for x
    x = 132,176.95/408.90
  6. Step 6: Final answer
    x = 323.25

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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.