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Finding the Fourth Proportional to 869.44, 1,304.14 and 321.56

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Solution

The fourth proportional to 869.44, 1,304.14 and 321.56 is: 482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.44 : 1,304.14 = 321.56 : x
  2. Step 2: Convert to fraction form
    869.44/1,304.14 = 321.56/x
  3. Step 3: Cross multiply
    869.44x = 1,304.14 × 321.56
  4. Step 4: Simplify right side
    869.44x = 419,359.26
  5. Step 5: Solve for x
    x = 419,359.26/869.44
  6. Step 6: Final answer
    x = 482.33

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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.