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Finding the Fourth Proportional to 408.17, 563.23 and 231.14

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Solution

The fourth proportional to 408.17, 563.23 and 231.14 is: 318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.17 : 563.23 = 231.14 : x
  2. Step 2: Convert to fraction form
    408.17/563.23 = 231.14/x
  3. Step 3: Cross multiply
    408.17x = 563.23 × 231.14
  4. Step 4: Simplify right side
    408.17x = 130,184.98
  5. Step 5: Solve for x
    x = 130,184.98/408.17
  6. Step 6: Final answer
    x = 318.95

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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.