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Finding the Fourth Proportional to 605.73, 835.95 and 343.80

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Solution

The fourth proportional to 605.73, 835.95 and 343.80 is: 474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.73 : 835.95 = 343.80 : x
  2. Step 2: Convert to fraction form
    605.73/835.95 = 343.80/x
  3. Step 3: Cross multiply
    605.73x = 835.95 × 343.80
  4. Step 4: Simplify right side
    605.73x = 287,399.61
  5. Step 5: Solve for x
    x = 287,399.61/605.73
  6. Step 6: Final answer
    x = 474.47

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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.