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Finding the Fourth Proportional to 404.26, 606.35 and 209.25

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Solution

The fourth proportional to 404.26, 606.35 and 209.25 is: 313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.26 : 606.35 = 209.25 : x
  2. Step 2: Convert to fraction form
    404.26/606.35 = 209.25/x
  3. Step 3: Cross multiply
    404.26x = 606.35 × 209.25
  4. Step 4: Simplify right side
    404.26x = 126,879.26
  5. Step 5: Solve for x
    x = 126,879.26/404.26
  6. Step 6: Final answer
    x = 313.86

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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.