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Finding the Fourth Proportional to 818.49, 1,227.86 and 331.43

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Solution

The fourth proportional to 818.49, 1,227.86 and 331.43 is: 497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.49 : 1,227.86 = 331.43 : x
  2. Step 2: Convert to fraction form
    818.49/1,227.86 = 331.43/x
  3. Step 3: Cross multiply
    818.49x = 1,227.86 × 331.43
  4. Step 4: Simplify right side
    818.49x = 406,949.64
  5. Step 5: Solve for x
    x = 406,949.64/818.49
  6. Step 6: Final answer
    x = 497.20

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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.