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Finding the Fourth Proportional to 322, 484.08 and 226.48

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Solution

The fourth proportional to 322, 484.08 and 226.48 is: 340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322 : 484.08 = 226.48 : x
  2. Step 2: Convert to fraction form
    322/484.08 = 226.48/x
  3. Step 3: Cross multiply
    322x = 484.08 × 226.48
  4. Step 4: Simplify right side
    322x = 109,634.44
  5. Step 5: Solve for x
    x = 109,634.44/322
  6. Step 6: Final answer
    x = 340.48

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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.