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Finding the Fourth Proportional to 818.09, 1,227.33 and 298.37

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Solution

The fourth proportional to 818.09, 1,227.33 and 298.37 is: 447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.09 : 1,227.33 = 298.37 : x
  2. Step 2: Convert to fraction form
    818.09/1,227.33 = 298.37/x
  3. Step 3: Cross multiply
    818.09x = 1,227.33 × 298.37
  4. Step 4: Simplify right side
    818.09x = 366,198.45
  5. Step 5: Solve for x
    x = 366,198.45/818.09
  6. Step 6: Final answer
    x = 447.63

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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.