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Finding the Fourth Proportional to 408.09, 563.16 and 233.45

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Solution

The fourth proportional to 408.09, 563.16 and 233.45 is: 322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.09 : 563.16 = 233.45 : x
  2. Step 2: Convert to fraction form
    408.09/563.16 = 233.45/x
  3. Step 3: Cross multiply
    408.09x = 563.16 × 233.45
  4. Step 4: Simplify right side
    408.09x = 131,469.70
  5. Step 5: Solve for x
    x = 131,469.70/408.09
  6. Step 6: Final answer
    x = 322.16

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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.