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Finding the Fourth Proportional to 408.26, 563.27 and 233.57

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Solution

The fourth proportional to 408.26, 563.27 and 233.57 is: 322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.26 : 563.27 = 233.57 : x
  2. Step 2: Convert to fraction form
    408.26/563.27 = 233.57/x
  3. Step 3: Cross multiply
    408.26x = 563.27 × 233.57
  4. Step 4: Simplify right side
    408.26x = 131,558.99
  5. Step 5: Solve for x
    x = 131,558.99/408.26
  6. Step 6: Final answer
    x = 322.25

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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.