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Finding the Fourth Proportional to 883.23, 1,324.38 and 298.02

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Solution

The fourth proportional to 883.23, 1,324.38 and 298.02 is: 446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.23 : 1,324.38 = 298.02 : x
  2. Step 2: Convert to fraction form
    883.23/1,324.38 = 298.02/x
  3. Step 3: Cross multiply
    883.23x = 1,324.38 × 298.02
  4. Step 4: Simplify right side
    883.23x = 394,691.73
  5. Step 5: Solve for x
    x = 394,691.73/883.23
  6. Step 6: Final answer
    x = 446.87

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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.