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Finding the Fourth Proportional to 818.47, 1,227.31 and 298.45

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Solution

The fourth proportional to 818.47, 1,227.31 and 298.45 is: 447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.47 : 1,227.31 = 298.45 : x
  2. Step 2: Convert to fraction form
    818.47/1,227.31 = 298.45/x
  3. Step 3: Cross multiply
    818.47x = 1,227.31 × 298.45
  4. Step 4: Simplify right side
    818.47x = 366,290.67
  5. Step 5: Solve for x
    x = 366,290.67/818.47
  6. Step 6: Final answer
    x = 447.53

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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.