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Finding the Fourth Proportional to 408.28, 563.02 and 374.55

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Solution

The fourth proportional to 408.28, 563.02 and 374.55 is: 516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.28 : 563.02 = 374.55 : x
  2. Step 2: Convert to fraction form
    408.28/563.02 = 374.55/x
  3. Step 3: Cross multiply
    408.28x = 563.02 × 374.55
  4. Step 4: Simplify right side
    408.28x = 210,879.14
  5. Step 5: Solve for x
    x = 210,879.14/408.28
  6. Step 6: Final answer
    x = 516.51

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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.