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Finding the Fourth Proportional to 338.49, 467.10 and 205.65

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Solution

The fourth proportional to 338.49, 467.10 and 205.65 is: 283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.49 : 467.10 = 205.65 : x
  2. Step 2: Convert to fraction form
    338.49/467.10 = 205.65/x
  3. Step 3: Cross multiply
    338.49x = 467.10 × 205.65
  4. Step 4: Simplify right side
    338.49x = 96,059.12
  5. Step 5: Solve for x
    x = 96,059.12/338.49
  6. Step 6: Final answer
    x = 283.79

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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.