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Finding the Fourth Proportional to 408.16, 564.12 and 359.44

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Solution

The fourth proportional to 408.16, 564.12 and 359.44 is: 496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.16 : 564.12 = 359.44 : x
  2. Step 2: Convert to fraction form
    408.16/564.12 = 359.44/x
  3. Step 3: Cross multiply
    408.16x = 564.12 × 359.44
  4. Step 4: Simplify right side
    408.16x = 202,767.29
  5. Step 5: Solve for x
    x = 202,767.29/408.16
  6. Step 6: Final answer
    x = 496.78

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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.