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Finding the Fourth Proportional to 289.83, 400.49 and 206.79

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Solution

The fourth proportional to 289.83, 400.49 and 206.79 is: 285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.83 : 400.49 = 206.79 : x
  2. Step 2: Convert to fraction form
    289.83/400.49 = 206.79/x
  3. Step 3: Cross multiply
    289.83x = 400.49 × 206.79
  4. Step 4: Simplify right side
    289.83x = 82,817.33
  5. Step 5: Solve for x
    x = 82,817.33/289.83
  6. Step 6: Final answer
    x = 285.74

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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.