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Finding the Fourth Proportional to 286.60, 396.02 and 208.84

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Solution

The fourth proportional to 286.60, 396.02 and 208.84 is: 288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.60 : 396.02 = 208.84 : x
  2. Step 2: Convert to fraction form
    286.60/396.02 = 208.84/x
  3. Step 3: Cross multiply
    286.60x = 396.02 × 208.84
  4. Step 4: Simplify right side
    286.60x = 82,704.82
  5. Step 5: Solve for x
    x = 82,704.82/286.60
  6. Step 6: Final answer
    x = 288.57

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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.