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Finding the Fourth Proportional to 404.73, 606.83 and 199.40

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Solution

The fourth proportional to 404.73, 606.83 and 199.40 is: 298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.73 : 606.83 = 199.40 : x
  2. Step 2: Convert to fraction form
    404.73/606.83 = 199.40/x
  3. Step 3: Cross multiply
    404.73x = 606.83 × 199.40
  4. Step 4: Simplify right side
    404.73x = 120,997.87
  5. Step 5: Solve for x
    x = 120,997.87/404.73
  6. Step 6: Final answer
    x = 298.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.