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Finding the Fourth Proportional to 605.73, 835.89 and 343.77

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Solution

The fourth proportional to 605.73, 835.89 and 343.77 is: 474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.73 : 835.89 = 343.77 : x
  2. Step 2: Convert to fraction form
    605.73/835.89 = 343.77/x
  3. Step 3: Cross multiply
    605.73x = 835.89 × 343.77
  4. Step 4: Simplify right side
    605.73x = 287,353.91
  5. Step 5: Solve for x
    x = 287,353.91/605.73
  6. Step 6: Final answer
    x = 474.39

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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.