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Finding the Fourth Proportional to 605.49, 834.29 and 408.66

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Solution

The fourth proportional to 605.49, 834.29 and 408.66 is: 563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.49 : 834.29 = 408.66 : x
  2. Step 2: Convert to fraction form
    605.49/834.29 = 408.66/x
  3. Step 3: Cross multiply
    605.49x = 834.29 × 408.66
  4. Step 4: Simplify right side
    605.49x = 340,940.95
  5. Step 5: Solve for x
    x = 340,940.95/605.49
  6. Step 6: Final answer
    x = 563.08

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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.