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Finding the Fourth Proportional to 286.92, 396 and 209.52

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Solution

The fourth proportional to 286.92, 396 and 209.52 is: 289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.92 : 396 = 209.52 : x
  2. Step 2: Convert to fraction form
    286.92/396 = 209.52/x
  3. Step 3: Cross multiply
    286.92x = 396 × 209.52
  4. Step 4: Simplify right side
    286.92x = 82,969.92
  5. Step 5: Solve for x
    x = 82,969.92/286.92
  6. Step 6: Final answer
    x = 289.17

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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.