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Finding the Fourth Proportional to 286.05, 394.39 and 233.54

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Solution

The fourth proportional to 286.05, 394.39 and 233.54 is: 321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.05 : 394.39 = 233.54 : x
  2. Step 2: Convert to fraction form
    286.05/394.39 = 233.54/x
  3. Step 3: Cross multiply
    286.05x = 394.39 × 233.54
  4. Step 4: Simplify right side
    286.05x = 92,107.41
  5. Step 5: Solve for x
    x = 92,107.41/286.05
  6. Step 6: Final answer
    x = 321.99

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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.