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Finding the Fourth Proportional to 881.82, 1,322.46 and 326.42

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Solution

The fourth proportional to 881.82, 1,322.46 and 326.42 is: 489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.82 : 1,322.46 = 326.42 : x
  2. Step 2: Convert to fraction form
    881.82/1,322.46 = 326.42/x
  3. Step 3: Cross multiply
    881.82x = 1,322.46 × 326.42
  4. Step 4: Simplify right side
    881.82x = 431,677.39
  5. Step 5: Solve for x
    x = 431,677.39/881.82
  6. Step 6: Final answer
    x = 489.53

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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.