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Finding the Fourth Proportional to 404.51, 606.78 and 199.26

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Solution

The fourth proportional to 404.51, 606.78 and 199.26 is: 298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.51 : 606.78 = 199.26 : x
  2. Step 2: Convert to fraction form
    404.51/606.78 = 199.26/x
  3. Step 3: Cross multiply
    404.51x = 606.78 × 199.26
  4. Step 4: Simplify right side
    404.51x = 120,906.98
  5. Step 5: Solve for x
    x = 120,906.98/404.51
  6. Step 6: Final answer
    x = 298.90

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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.