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Finding the Fourth Proportional to 323.91, 485.69 and 213.75

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Solution

The fourth proportional to 323.91, 485.69 and 213.75 is: 320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.91 : 485.69 = 213.75 : x
  2. Step 2: Convert to fraction form
    323.91/485.69 = 213.75/x
  3. Step 3: Cross multiply
    323.91x = 485.69 × 213.75
  4. Step 4: Simplify right side
    323.91x = 103,815.17
  5. Step 5: Solve for x
    x = 103,815.17/323.91
  6. Step 6: Final answer
    x = 320.51

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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.