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Finding the Fourth Proportional to 404.07, 606.46 and 209.21

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Solution

The fourth proportional to 404.07, 606.46 and 209.21 is: 314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.07 : 606.46 = 209.21 : x
  2. Step 2: Convert to fraction form
    404.07/606.46 = 209.21/x
  3. Step 3: Cross multiply
    404.07x = 606.46 × 209.21
  4. Step 4: Simplify right side
    404.07x = 126,874.46
  5. Step 5: Solve for x
    x = 126,874.46/404.07
  6. Step 6: Final answer
    x = 314.00

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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.