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Finding the Fourth Proportional to 681.59, 1,022.27 and 270.34

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Solution

The fourth proportional to 681.59, 1,022.27 and 270.34 is: 405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.59 : 1,022.27 = 270.34 : x
  2. Step 2: Convert to fraction form
    681.59/1,022.27 = 270.34/x
  3. Step 3: Cross multiply
    681.59x = 1,022.27 × 270.34
  4. Step 4: Simplify right side
    681.59x = 276,358.09
  5. Step 5: Solve for x
    x = 276,358.09/681.59
  6. Step 6: Final answer
    x = 405.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.