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Finding the Fourth Proportional to 489.52, 675.42 and 324.04

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Solution

The fourth proportional to 489.52, 675.42 and 324.04 is: 447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.52 : 675.42 = 324.04 : x
  2. Step 2: Convert to fraction form
    489.52/675.42 = 324.04/x
  3. Step 3: Cross multiply
    489.52x = 675.42 × 324.04
  4. Step 4: Simplify right side
    489.52x = 218,863.10
  5. Step 5: Solve for x
    x = 218,863.10/489.52
  6. Step 6: Final answer
    x = 447.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.