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Finding the Fourth Proportional to 338.40, 467.48 and 227.84

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Solution

The fourth proportional to 338.40, 467.48 and 227.84 is: 314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.40 : 467.48 = 227.84 : x
  2. Step 2: Convert to fraction form
    338.40/467.48 = 227.84/x
  3. Step 3: Cross multiply
    338.40x = 467.48 × 227.84
  4. Step 4: Simplify right side
    338.40x = 106,510.64
  5. Step 5: Solve for x
    x = 106,510.64/338.40
  6. Step 6: Final answer
    x = 314.75

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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.