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Finding the Fourth Proportional to 408.59, 563.79 and 231.51

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Solution

The fourth proportional to 408.59, 563.79 and 231.51 is: 319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.59 : 563.79 = 231.51 : x
  2. Step 2: Convert to fraction form
    408.59/563.79 = 231.51/x
  3. Step 3: Cross multiply
    408.59x = 563.79 × 231.51
  4. Step 4: Simplify right side
    408.59x = 130,520.20
  5. Step 5: Solve for x
    x = 130,520.20/408.59
  6. Step 6: Final answer
    x = 319.44

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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.