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Finding the Fourth Proportional to 605.12, 834.77 and 395.21

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Solution

The fourth proportional to 605.12, 834.77 and 395.21 is: 545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.12 : 834.77 = 395.21 : x
  2. Step 2: Convert to fraction form
    605.12/834.77 = 395.21/x
  3. Step 3: Cross multiply
    605.12x = 834.77 × 395.21
  4. Step 4: Simplify right side
    605.12x = 329,912.53
  5. Step 5: Solve for x
    x = 329,912.53/605.12
  6. Step 6: Final answer
    x = 545.21

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