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Finding the Fourth Proportional to 818.56, 1,227.72 and 270.67

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Solution

The fourth proportional to 818.56, 1,227.72 and 270.67 is: 405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.56 : 1,227.72 = 270.67 : x
  2. Step 2: Convert to fraction form
    818.56/1,227.72 = 270.67/x
  3. Step 3: Cross multiply
    818.56x = 1,227.72 × 270.67
  4. Step 4: Simplify right side
    818.56x = 332,306.97
  5. Step 5: Solve for x
    x = 332,306.97/818.56
  6. Step 6: Final answer
    x = 405.97

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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.