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Finding the Fourth Proportional to 483.80, 725.82 and 227

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Solution

The fourth proportional to 483.80, 725.82 and 227 is: 340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.80 : 725.82 = 227 : x
  2. Step 2: Convert to fraction form
    483.80/725.82 = 227/x
  3. Step 3: Cross multiply
    483.80x = 725.82 × 227
  4. Step 4: Simplify right side
    483.80x = 164,761.14
  5. Step 5: Solve for x
    x = 164,761.14/483.80
  6. Step 6: Final answer
    x = 340.56

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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.