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Finding the Fourth Proportional to 489.48, 675.42 and 323.37

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Solution

The fourth proportional to 489.48, 675.42 and 323.37 is: 446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.48 : 675.42 = 323.37 : x
  2. Step 2: Convert to fraction form
    489.48/675.42 = 323.37/x
  3. Step 3: Cross multiply
    489.48x = 675.42 × 323.37
  4. Step 4: Simplify right side
    489.48x = 218,410.57
  5. Step 5: Solve for x
    x = 218,410.57/489.48
  6. Step 6: Final answer
    x = 446.21

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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.