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Finding the Fourth Proportional to 408.56, 563.80 and 233.90

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Solution

The fourth proportional to 408.56, 563.80 and 233.90 is: 322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.56 : 563.80 = 233.90 : x
  2. Step 2: Convert to fraction form
    408.56/563.80 = 233.90/x
  3. Step 3: Cross multiply
    408.56x = 563.80 × 233.90
  4. Step 4: Simplify right side
    408.56x = 131,872.82
  5. Step 5: Solve for x
    x = 131,872.82/408.56
  6. Step 6: Final answer
    x = 322.77

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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.