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Finding the Fourth Proportional to 742.25, 1,113.17 and 273.66

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Solution

The fourth proportional to 742.25, 1,113.17 and 273.66 is: 410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.25 : 1,113.17 = 273.66 : x
  2. Step 2: Convert to fraction form
    742.25/1,113.17 = 273.66/x
  3. Step 3: Cross multiply
    742.25x = 1,113.17 × 273.66
  4. Step 4: Simplify right side
    742.25x = 304,628.73
  5. Step 5: Solve for x
    x = 304,628.73/742.25
  6. Step 6: Final answer
    x = 410.42

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