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Finding the Fourth Proportional to 404.78, 606.89 and 199.30

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Solution

The fourth proportional to 404.78, 606.89 and 199.30 is: 298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.78 : 606.89 = 199.30 : x
  2. Step 2: Convert to fraction form
    404.78/606.89 = 199.30/x
  3. Step 3: Cross multiply
    404.78x = 606.89 × 199.30
  4. Step 4: Simplify right side
    404.78x = 120,952.94
  5. Step 5: Solve for x
    x = 120,952.94/404.78
  6. Step 6: Final answer
    x = 298.81

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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.