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Finding the Fourth Proportional to 818.30, 1,227.96 and 298.25

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Solution

The fourth proportional to 818.30, 1,227.96 and 298.25 is: 447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.30 : 1,227.96 = 298.25 : x
  2. Step 2: Convert to fraction form
    818.30/1,227.96 = 298.25/x
  3. Step 3: Cross multiply
    818.30x = 1,227.96 × 298.25
  4. Step 4: Simplify right side
    818.30x = 366,232.93
  5. Step 5: Solve for x
    x = 366,232.93/818.30
  6. Step 6: Final answer
    x = 447.56

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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.