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Finding the Fourth Proportional to 605.44, 834.90 and 406.33

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Solution

The fourth proportional to 605.44, 834.90 and 406.33 is: 560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.44 : 834.90 = 406.33 : x
  2. Step 2: Convert to fraction form
    605.44/834.90 = 406.33/x
  3. Step 3: Cross multiply
    605.44x = 834.90 × 406.33
  4. Step 4: Simplify right side
    605.44x = 339,244.92
  5. Step 5: Solve for x
    x = 339,244.92/605.44
  6. Step 6: Final answer
    x = 560.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.