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Finding the Fourth Proportional to 605.97, 836.26 and 340.41

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Solution

The fourth proportional to 605.97, 836.26 and 340.41 is: 469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.97 : 836.26 = 340.41 : x
  2. Step 2: Convert to fraction form
    605.97/836.26 = 340.41/x
  3. Step 3: Cross multiply
    605.97x = 836.26 × 340.41
  4. Step 4: Simplify right side
    605.97x = 284,671.27
  5. Step 5: Solve for x
    x = 284,671.27/605.97
  6. Step 6: Final answer
    x = 469.78

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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.