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Finding the Fourth Proportional to 818.32, 1,227.66 and 331.42

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Solution

The fourth proportional to 818.32, 1,227.66 and 331.42 is: 497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.32 : 1,227.66 = 331.42 : x
  2. Step 2: Convert to fraction form
    818.32/1,227.66 = 331.42/x
  3. Step 3: Cross multiply
    818.32x = 1,227.66 × 331.42
  4. Step 4: Simplify right side
    818.32x = 406,871.08
  5. Step 5: Solve for x
    x = 406,871.08/818.32
  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.