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Finding the Fourth Proportional to 605.14, 834.89 and 395.62

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Solution

The fourth proportional to 605.14, 834.89 and 395.62 is: 545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.14 : 834.89 = 395.62 : x
  2. Step 2: Convert to fraction form
    605.14/834.89 = 395.62/x
  3. Step 3: Cross multiply
    605.14x = 834.89 × 395.62
  4. Step 4: Simplify right side
    605.14x = 330,295.12
  5. Step 5: Solve for x
    x = 330,295.12/605.14
  6. Step 6: Final answer
    x = 545.82

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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.