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Finding the Fourth Proportional to 882.31, 1,323.97 and 327.41

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Solution

The fourth proportional to 882.31, 1,323.97 and 327.41 is: 491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.31 : 1,323.97 = 327.41 : x
  2. Step 2: Convert to fraction form
    882.31/1,323.97 = 327.41/x
  3. Step 3: Cross multiply
    882.31x = 1,323.97 × 327.41
  4. Step 4: Simplify right side
    882.31x = 433,474.40
  5. Step 5: Solve for x
    x = 433,474.40/882.31
  6. Step 6: Final answer
    x = 491.29

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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.