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Finding the Fourth Proportional to 408.14, 563.24 and 233.48

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Solution

The fourth proportional to 408.14, 563.24 and 233.48 is: 322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.14 : 563.24 = 233.48 : x
  2. Step 2: Convert to fraction form
    408.14/563.24 = 233.48/x
  3. Step 3: Cross multiply
    408.14x = 563.24 × 233.48
  4. Step 4: Simplify right side
    408.14x = 131,505.28
  5. Step 5: Solve for x
    x = 131,505.28/408.14
  6. Step 6: Final answer
    x = 322.21

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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.