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Finding the Fourth Proportional to 338.40, 467.49 and 227.83

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Solution

The fourth proportional to 338.40, 467.49 and 227.83 is: 314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.40 : 467.49 = 227.83 : x
  2. Step 2: Convert to fraction form
    338.40/467.49 = 227.83/x
  3. Step 3: Cross multiply
    338.40x = 467.49 × 227.83
  4. Step 4: Simplify right side
    338.40x = 106,508.25
  5. Step 5: Solve for x
    x = 106,508.25/338.40
  6. Step 6: Final answer
    x = 314.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.