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Finding the Fourth Proportional to 323.94, 484.06 and 220.36

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Solution

The fourth proportional to 323.94, 484.06 and 220.36 is: 329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.94 : 484.06 = 220.36 : x
  2. Step 2: Convert to fraction form
    323.94/484.06 = 220.36/x
  3. Step 3: Cross multiply
    323.94x = 484.06 × 220.36
  4. Step 4: Simplify right side
    323.94x = 106,667.46
  5. Step 5: Solve for x
    x = 106,667.46/323.94
  6. Step 6: Final answer
    x = 329.28

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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.