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Finding the Fourth Proportional to 355.45, 490.41 and 230.91

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Solution

The fourth proportional to 355.45, 490.41 and 230.91 is: 318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.45 : 490.41 = 230.91 : x
  2. Step 2: Convert to fraction form
    355.45/490.41 = 230.91/x
  3. Step 3: Cross multiply
    355.45x = 490.41 × 230.91
  4. Step 4: Simplify right side
    355.45x = 113,240.57
  5. Step 5: Solve for x
    x = 113,240.57/355.45
  6. Step 6: Final answer
    x = 318.58

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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.