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Finding the Fourth Proportional to 404.15, 605.92 and 209.07

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Solution

The fourth proportional to 404.15, 605.92 and 209.07 is: 313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.15 : 605.92 = 209.07 : x
  2. Step 2: Convert to fraction form
    404.15/605.92 = 209.07/x
  3. Step 3: Cross multiply
    404.15x = 605.92 × 209.07
  4. Step 4: Simplify right side
    404.15x = 126,677.68
  5. Step 5: Solve for x
    x = 126,677.68/404.15
  6. Step 6: Final answer
    x = 313.44

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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.