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Finding the Fourth Proportional to 323.40, 484.74 and 220.71

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Solution

The fourth proportional to 323.40, 484.74 and 220.71 is: 330.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.40 : 484.74 = 220.71 : x
  2. Step 2: Convert to fraction form
    323.40/484.74 = 220.71/x
  3. Step 3: Cross multiply
    323.40x = 484.74 × 220.71
  4. Step 4: Simplify right side
    323.40x = 106,986.97
  5. Step 5: Solve for x
    x = 106,986.97/323.40
  6. Step 6: Final answer
    x = 330.82

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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.