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Finding the Fourth Proportional to 355.70, 490.88 and 231.46

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Solution

The fourth proportional to 355.70, 490.88 and 231.46 is: 319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.70 : 490.88 = 231.46 : x
  2. Step 2: Convert to fraction form
    355.70/490.88 = 231.46/x
  3. Step 3: Cross multiply
    355.70x = 490.88 × 231.46
  4. Step 4: Simplify right side
    355.70x = 113,617.93
  5. Step 5: Solve for x
    x = 113,617.93/355.70
  6. Step 6: Final answer
    x = 319.43

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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.