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Finding the Fourth Proportional to 323.04, 484.80 and 225.28

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Solution

The fourth proportional to 323.04, 484.80 and 225.28 is: 338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.04 : 484.80 = 225.28 : x
  2. Step 2: Convert to fraction form
    323.04/484.80 = 225.28/x
  3. Step 3: Cross multiply
    323.04x = 484.80 × 225.28
  4. Step 4: Simplify right side
    323.04x = 109,215.74
  5. Step 5: Solve for x
    x = 109,215.74/323.04
  6. Step 6: Final answer
    x = 338.09

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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.