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Finding the Fourth Proportional to 408.71, 563.63 and 374.99

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Solution

The fourth proportional to 408.71, 563.63 and 374.99 is: 517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.71 : 563.63 = 374.99 : x
  2. Step 2: Convert to fraction form
    408.71/563.63 = 374.99/x
  3. Step 3: Cross multiply
    408.71x = 563.63 × 374.99
  4. Step 4: Simplify right side
    408.71x = 211,350.92
  5. Step 5: Solve for x
    x = 211,350.92/408.71
  6. Step 6: Final answer
    x = 517.11

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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.