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Finding the Fourth Proportional to 818.94, 1,227.68 and 270.96

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Solution

The fourth proportional to 818.94, 1,227.68 and 270.96 is: 406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.94 : 1,227.68 = 270.96 : x
  2. Step 2: Convert to fraction form
    818.94/1,227.68 = 270.96/x
  3. Step 3: Cross multiply
    818.94x = 1,227.68 × 270.96
  4. Step 4: Simplify right side
    818.94x = 332,652.17
  5. Step 5: Solve for x
    x = 332,652.17/818.94
  6. Step 6: Final answer
    x = 406.20

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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.