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Finding the Fourth Proportional to 323.65, 484.32 and 213.90

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Solution

The fourth proportional to 323.65, 484.32 and 213.90 is: 320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.65 : 484.32 = 213.90 : x
  2. Step 2: Convert to fraction form
    323.65/484.32 = 213.90/x
  3. Step 3: Cross multiply
    323.65x = 484.32 × 213.90
  4. Step 4: Simplify right side
    323.65x = 103,596.05
  5. Step 5: Solve for x
    x = 103,596.05/323.65
  6. Step 6: Final answer
    x = 320.09

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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.