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Finding the Fourth Proportional to 408.76, 564 and 234.12

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Solution

The fourth proportional to 408.76, 564 and 234.12 is: 323.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.76 : 564 = 234.12 : x
  2. Step 2: Convert to fraction form
    408.76/564 = 234.12/x
  3. Step 3: Cross multiply
    408.76x = 564 × 234.12
  4. Step 4: Simplify right side
    408.76x = 132,043.68
  5. Step 5: Solve for x
    x = 132,043.68/408.76
  6. Step 6: Final answer
    x = 323.03

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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.