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Finding the Fourth Proportional to 355.63, 490.47 and 231.19

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Solution

The fourth proportional to 355.63, 490.47 and 231.19 is: 318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.63 : 490.47 = 231.19 : x
  2. Step 2: Convert to fraction form
    355.63/490.47 = 231.19/x
  3. Step 3: Cross multiply
    355.63x = 490.47 × 231.19
  4. Step 4: Simplify right side
    355.63x = 113,391.83
  5. Step 5: Solve for x
    x = 113,391.83/355.63
  6. Step 6: Final answer
    x = 318.85

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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.