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Finding the Fourth Proportional to 408.24, 563.38 and 233.59

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Solution

The fourth proportional to 408.24, 563.38 and 233.59 is: 322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.24 : 563.38 = 233.59 : x
  2. Step 2: Convert to fraction form
    408.24/563.38 = 233.59/x
  3. Step 3: Cross multiply
    408.24x = 563.38 × 233.59
  4. Step 4: Simplify right side
    408.24x = 131,599.93
  5. Step 5: Solve for x
    x = 131,599.93/408.24
  6. Step 6: Final answer
    x = 322.36

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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.