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Finding the Fourth Proportional to 605.73, 835.85 and 353.61

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Solution

The fourth proportional to 605.73, 835.85 and 353.61 is: 487.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.73 : 835.85 = 353.61 : x
  2. Step 2: Convert to fraction form
    605.73/835.85 = 353.61/x
  3. Step 3: Cross multiply
    605.73x = 835.85 × 353.61
  4. Step 4: Simplify right side
    605.73x = 295,563.15
  5. Step 5: Solve for x
    x = 295,563.15/605.73
  6. Step 6: Final answer
    x = 487.95

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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.