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Finding the Fourth Proportional to 408.46, 563.21 and 296.20

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Solution

The fourth proportional to 408.46, 563.21 and 296.20 is: 408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.46 : 563.21 = 296.20 : x
  2. Step 2: Convert to fraction form
    408.46/563.21 = 296.20/x
  3. Step 3: Cross multiply
    408.46x = 563.21 × 296.20
  4. Step 4: Simplify right side
    408.46x = 166,822.80
  5. Step 5: Solve for x
    x = 166,822.80/408.46
  6. Step 6: Final answer
    x = 408.42

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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.