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Finding the Fourth Proportional to 484.44, 726.09 and 338.23

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Solution

The fourth proportional to 484.44, 726.09 and 338.23 is: 506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.44 : 726.09 = 338.23 : x
  2. Step 2: Convert to fraction form
    484.44/726.09 = 338.23/x
  3. Step 3: Cross multiply
    484.44x = 726.09 × 338.23
  4. Step 4: Simplify right side
    484.44x = 245,585.42
  5. Step 5: Solve for x
    x = 245,585.42/484.44
  6. Step 6: Final answer
    x = 506.95

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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.