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Finding the Fourth Proportional to 605.51, 835.61 and 343.47

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Solution

The fourth proportional to 605.51, 835.61 and 343.47 is: 473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.51 : 835.61 = 343.47 : x
  2. Step 2: Convert to fraction form
    605.51/835.61 = 343.47/x
  3. Step 3: Cross multiply
    605.51x = 835.61 × 343.47
  4. Step 4: Simplify right side
    605.51x = 287,006.97
  5. Step 5: Solve for x
    x = 287,006.97/605.51
  6. Step 6: Final answer
    x = 473.99

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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.