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Finding the Fourth Proportional to 408.14, 563.24 and 233.50

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Solution

The fourth proportional to 408.14, 563.24 and 233.50 is: 322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.14 : 563.24 = 233.50 : x
  2. Step 2: Convert to fraction form
    408.14/563.24 = 233.50/x
  3. Step 3: Cross multiply
    408.14x = 563.24 × 233.50
  4. Step 4: Simplify right side
    408.14x = 131,516.54
  5. Step 5: Solve for x
    x = 131,516.54/408.14
  6. Step 6: Final answer
    x = 322.23

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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.