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Finding the Fourth Proportional to 281.91, 425.39 and 270.68

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Solution

The fourth proportional to 281.91, 425.39 and 270.68 is: 408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.91 : 425.39 = 270.68 : x
  2. Step 2: Convert to fraction form
    281.91/425.39 = 270.68/x
  3. Step 3: Cross multiply
    281.91x = 425.39 × 270.68
  4. Step 4: Simplify right side
    281.91x = 115,141.08
  5. Step 5: Solve for x
    x = 115,141.08/281.91
  6. Step 6: Final answer
    x = 408.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.