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Finding the Fourth Proportional to 605.91, 836.17 and 343.94

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Solution

The fourth proportional to 605.91, 836.17 and 343.94 is: 474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.91 : 836.17 = 343.94 : x
  2. Step 2: Convert to fraction form
    605.91/836.17 = 343.94/x
  3. Step 3: Cross multiply
    605.91x = 836.17 × 343.94
  4. Step 4: Simplify right side
    605.91x = 287,590.40
  5. Step 5: Solve for x
    x = 287,590.40/605.91
  6. Step 6: Final answer
    x = 474.65

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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.