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Finding the Fourth Proportional to 605.64, 835.85 and 343.63

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Solution

The fourth proportional to 605.64, 835.85 and 343.63 is: 474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.64 : 835.85 = 343.63 : x
  2. Step 2: Convert to fraction form
    605.64/835.85 = 343.63/x
  3. Step 3: Cross multiply
    605.64x = 835.85 × 343.63
  4. Step 4: Simplify right side
    605.64x = 287,217.24
  5. Step 5: Solve for x
    x = 287,217.24/605.64
  6. Step 6: Final answer
    x = 474.24

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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.