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Finding the Fourth Proportional to 336.27, 464.09 and 205.37

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Solution

The fourth proportional to 336.27, 464.09 and 205.37 is: 283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.27 : 464.09 = 205.37 : x
  2. Step 2: Convert to fraction form
    336.27/464.09 = 205.37/x
  3. Step 3: Cross multiply
    336.27x = 464.09 × 205.37
  4. Step 4: Simplify right side
    336.27x = 95,306.82
  5. Step 5: Solve for x
    x = 95,306.82/336.27
  6. Step 6: Final answer
    x = 283.42

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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.