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Finding the Fourth Proportional to 818.24, 1,227.88 and 298.19

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Solution

The fourth proportional to 818.24, 1,227.88 and 298.19 is: 447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.24 : 1,227.88 = 298.19 : x
  2. Step 2: Convert to fraction form
    818.24/1,227.88 = 298.19/x
  3. Step 3: Cross multiply
    818.24x = 1,227.88 × 298.19
  4. Step 4: Simplify right side
    818.24x = 366,141.54
  5. Step 5: Solve for x
    x = 366,141.54/818.24
  6. Step 6: Final answer
    x = 447.47

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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.