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Finding the Fourth Proportional to 605.13, 834.83 and 408.30

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Solution

The fourth proportional to 605.13, 834.83 and 408.30 is: 563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.13 : 834.83 = 408.30 : x
  2. Step 2: Convert to fraction form
    605.13/834.83 = 408.30/x
  3. Step 3: Cross multiply
    605.13x = 834.83 × 408.30
  4. Step 4: Simplify right side
    605.13x = 340,859.05
  5. Step 5: Solve for x
    x = 340,859.05/605.13
  6. Step 6: Final answer
    x = 563.28

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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.