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Finding the Fourth Proportional to 325.44, 485.92 and 323.04

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Solution

The fourth proportional to 325.44, 485.92 and 323.04 is: 482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.44 : 485.92 = 323.04 : x
  2. Step 2: Convert to fraction form
    325.44/485.92 = 323.04/x
  3. Step 3: Cross multiply
    325.44x = 485.92 × 323.04
  4. Step 4: Simplify right side
    325.44x = 156,971.60
  5. Step 5: Solve for x
    x = 156,971.60/325.44
  6. Step 6: Final answer
    x = 482.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.