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Finding the Fourth Proportional to 408.42, 563.22 and 349.56

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Solution

The fourth proportional to 408.42, 563.22 and 349.56 is: 482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.42 : 563.22 = 349.56 : x
  2. Step 2: Convert to fraction form
    408.42/563.22 = 349.56/x
  3. Step 3: Cross multiply
    408.42x = 563.22 × 349.56
  4. Step 4: Simplify right side
    408.42x = 196,879.18
  5. Step 5: Solve for x
    x = 196,879.18/408.42
  6. Step 6: Final answer
    x = 482.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.