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Finding the Fourth Proportional to 408.60, 563.82 and 233.91

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Solution

The fourth proportional to 408.60, 563.82 and 233.91 is: 322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.60 : 563.82 = 233.91 : x
  2. Step 2: Convert to fraction form
    408.60/563.82 = 233.91/x
  3. Step 3: Cross multiply
    408.60x = 563.82 × 233.91
  4. Step 4: Simplify right side
    408.60x = 131,883.14
  5. Step 5: Solve for x
    x = 131,883.14/408.60
  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.