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Finding the Fourth Proportional to 355.49, 490.41 and 231.15

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Solution

The fourth proportional to 355.49, 490.41 and 231.15 is: 318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.49 : 490.41 = 231.15 : x
  2. Step 2: Convert to fraction form
    355.49/490.41 = 231.15/x
  3. Step 3: Cross multiply
    355.49x = 490.41 × 231.15
  4. Step 4: Simplify right side
    355.49x = 113,358.27
  5. Step 5: Solve for x
    x = 113,358.27/355.49
  6. Step 6: Final answer
    x = 318.88

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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.