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Finding the Fourth Proportional to 404.02, 605.79 and 221.36

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Solution

The fourth proportional to 404.02, 605.79 and 221.36 is: 331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.02 : 605.79 = 221.36 : x
  2. Step 2: Convert to fraction form
    404.02/605.79 = 221.36/x
  3. Step 3: Cross multiply
    404.02x = 605.79 × 221.36
  4. Step 4: Simplify right side
    404.02x = 134,099.19
  5. Step 5: Solve for x
    x = 134,099.19/404.02
  6. Step 6: Final answer
    x = 331.91

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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.