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Finding the Fourth Proportional to 404.09, 606.14 and 100.09

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Solution

The fourth proportional to 404.09, 606.14 and 100.09 is: 150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.09 : 606.14 = 100.09 : x
  2. Step 2: Convert to fraction form
    404.09/606.14 = 100.09/x
  3. Step 3: Cross multiply
    404.09x = 606.14 × 100.09
  4. Step 4: Simplify right side
    404.09x = 60,668.55
  5. Step 5: Solve for x
    x = 60,668.55/404.09
  6. Step 6: Final answer
    x = 150.14

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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.