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Finding the Fourth Proportional to 489.15, 675.04 and 323.25

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Solution

The fourth proportional to 489.15, 675.04 and 323.25 is: 446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.15 : 675.04 = 323.25 : x
  2. Step 2: Convert to fraction form
    489.15/675.04 = 323.25/x
  3. Step 3: Cross multiply
    489.15x = 675.04 × 323.25
  4. Step 4: Simplify right side
    489.15x = 218,203.30
  5. Step 5: Solve for x
    x = 218,203.30/489.15
  6. Step 6: Final answer
    x = 446.09

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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.