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Finding the Fourth Proportional to 818.10, 1,227.12 and 331.14

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Solution

The fourth proportional to 818.10, 1,227.12 and 331.14 is: 496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.10 : 1,227.12 = 331.14 : x
  2. Step 2: Convert to fraction form
    818.10/1,227.12 = 331.14/x
  3. Step 3: Cross multiply
    818.10x = 1,227.12 × 331.14
  4. Step 4: Simplify right side
    818.10x = 406,348.52
  5. Step 5: Solve for x
    x = 406,348.52/818.10
  6. Step 6: Final answer
    x = 496.70

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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.