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Finding the Fourth Proportional to 882.87, 1,324.81 and 327.96

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Solution

The fourth proportional to 882.87, 1,324.81 and 327.96 is: 492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.87 : 1,324.81 = 327.96 : x
  2. Step 2: Convert to fraction form
    882.87/1,324.81 = 327.96/x
  3. Step 3: Cross multiply
    882.87x = 1,324.81 × 327.96
  4. Step 4: Simplify right side
    882.87x = 434,490.07
  5. Step 5: Solve for x
    x = 434,490.07/882.87
  6. Step 6: Final answer
    x = 492.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.