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Finding the Fourth Proportional to 811.97, 1,217.82 and 227.02

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Solution

The fourth proportional to 811.97, 1,217.82 and 227.02 is: 340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.97 : 1,217.82 = 227.02 : x
  2. Step 2: Convert to fraction form
    811.97/1,217.82 = 227.02/x
  3. Step 3: Cross multiply
    811.97x = 1,217.82 × 227.02
  4. Step 4: Simplify right side
    811.97x = 276,463.41
  5. Step 5: Solve for x
    x = 276,463.41/811.97
  6. Step 6: Final answer
    x = 340.48

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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.