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Finding the Fourth Proportional to 408.98, 563.63 and 315.56

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Solution

The fourth proportional to 408.98, 563.63 and 315.56 is: 434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.98 : 563.63 = 315.56 : x
  2. Step 2: Convert to fraction form
    408.98/563.63 = 315.56/x
  3. Step 3: Cross multiply
    408.98x = 563.63 × 315.56
  4. Step 4: Simplify right side
    408.98x = 177,858.91
  5. Step 5: Solve for x
    x = 177,858.91/408.98
  6. Step 6: Final answer
    x = 434.88

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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.