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Finding the Fourth Proportional to 605.22, 834.98 and 343.04

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Solution

The fourth proportional to 605.22, 834.98 and 343.04 is: 473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.22 : 834.98 = 343.04 : x
  2. Step 2: Convert to fraction form
    605.22/834.98 = 343.04/x
  3. Step 3: Cross multiply
    605.22x = 834.98 × 343.04
  4. Step 4: Simplify right side
    605.22x = 286,431.54
  5. Step 5: Solve for x
    x = 286,431.54/605.22
  6. Step 6: Final answer
    x = 473.27

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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.