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Finding the Fourth Proportional to 605.85, 835.90 and 343.86

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Solution

The fourth proportional to 605.85, 835.90 and 343.86 is: 474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.85 : 835.90 = 343.86 : x
  2. Step 2: Convert to fraction form
    605.85/835.90 = 343.86/x
  3. Step 3: Cross multiply
    605.85x = 835.90 × 343.86
  4. Step 4: Simplify right side
    605.85x = 287,432.57
  5. Step 5: Solve for x
    x = 287,432.57/605.85
  6. Step 6: Final answer
    x = 474.43

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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.