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Finding the Fourth Proportional to 605.31, 834.93 and 416.16

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Solution

The fourth proportional to 605.31, 834.93 and 416.16 is: 574.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.31 : 834.93 = 416.16 : x
  2. Step 2: Convert to fraction form
    605.31/834.93 = 416.16/x
  3. Step 3: Cross multiply
    605.31x = 834.93 × 416.16
  4. Step 4: Simplify right side
    605.31x = 347,464.47
  5. Step 5: Solve for x
    x = 347,464.47/605.31
  6. Step 6: Final answer
    x = 574.03

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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.