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Finding the Fourth Proportional to 323.45, 485.31 and 309.61

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Solution

The fourth proportional to 323.45, 485.31 and 309.61 is: 464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.45 : 485.31 = 309.61 : x
  2. Step 2: Convert to fraction form
    323.45/485.31 = 309.61/x
  3. Step 3: Cross multiply
    323.45x = 485.31 × 309.61
  4. Step 4: Simplify right side
    323.45x = 150,256.83
  5. Step 5: Solve for x
    x = 150,256.83/323.45
  6. Step 6: Final answer
    x = 464.54

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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.