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Finding the Fourth Proportional to 605.36, 908.04 and 401.22

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Solution

The fourth proportional to 605.36, 908.04 and 401.22 is: 601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.36 : 908.04 = 401.22 : x
  2. Step 2: Convert to fraction form
    605.36/908.04 = 401.22/x
  3. Step 3: Cross multiply
    605.36x = 908.04 × 401.22
  4. Step 4: Simplify right side
    605.36x = 364,321.80
  5. Step 5: Solve for x
    x = 364,321.80/605.36
  6. Step 6: Final answer
    x = 601.83

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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.