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Finding the Fourth Proportional to 881.20, 1,321.30 and 361.56

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Solution

The fourth proportional to 881.20, 1,321.30 and 361.56 is: 542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.20 : 1,321.30 = 361.56 : x
  2. Step 2: Convert to fraction form
    881.20/1,321.30 = 361.56/x
  3. Step 3: Cross multiply
    881.20x = 1,321.30 × 361.56
  4. Step 4: Simplify right side
    881.20x = 477,729.23
  5. Step 5: Solve for x
    x = 477,729.23/881.20
  6. Step 6: Final answer
    x = 542.13

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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.