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Finding the Fourth Proportional to 408.11, 563.46 and 314.69

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Solution

The fourth proportional to 408.11, 563.46 and 314.69 is: 434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.11 : 563.46 = 314.69 : x
  2. Step 2: Convert to fraction form
    408.11/563.46 = 314.69/x
  3. Step 3: Cross multiply
    408.11x = 563.46 × 314.69
  4. Step 4: Simplify right side
    408.11x = 177,311.23
  5. Step 5: Solve for x
    x = 177,311.23/408.11
  6. Step 6: Final answer
    x = 434.47

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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.