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Finding the Fourth Proportional to 404.30, 605.90 and 209.22

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Solution

The fourth proportional to 404.30, 605.90 and 209.22 is: 313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.30 : 605.90 = 209.22 : x
  2. Step 2: Convert to fraction form
    404.30/605.90 = 209.22/x
  3. Step 3: Cross multiply
    404.30x = 605.90 × 209.22
  4. Step 4: Simplify right side
    404.30x = 126,766.40
  5. Step 5: Solve for x
    x = 126,766.40/404.30
  6. Step 6: Final answer
    x = 313.55

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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.