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Finding the Fourth Proportional to 408.32, 564.01 and 329.92

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Solution

The fourth proportional to 408.32, 564.01 and 329.92 is: 455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.32 : 564.01 = 329.92 : x
  2. Step 2: Convert to fraction form
    408.32/564.01 = 329.92/x
  3. Step 3: Cross multiply
    408.32x = 564.01 × 329.92
  4. Step 4: Simplify right side
    408.32x = 186,080.97
  5. Step 5: Solve for x
    x = 186,080.97/408.32
  6. Step 6: Final answer
    x = 455.73

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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.