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Finding the Fourth Proportional to 605.57, 836.09 and 465.44

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Solution

The fourth proportional to 605.57, 836.09 and 465.44 is: 642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.57 : 836.09 = 465.44 : x
  2. Step 2: Convert to fraction form
    605.57/836.09 = 465.44/x
  3. Step 3: Cross multiply
    605.57x = 836.09 × 465.44
  4. Step 4: Simplify right side
    605.57x = 389,149.73
  5. Step 5: Solve for x
    x = 389,149.73/605.57
  6. Step 6: Final answer
    x = 642.62

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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.