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Finding the Fourth Proportional to 574.14, 791.46 and 408.72

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Solution

The fourth proportional to 574.14, 791.46 and 408.72 is: 563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.14 : 791.46 = 408.72 : x
  2. Step 2: Convert to fraction form
    574.14/791.46 = 408.72/x
  3. Step 3: Cross multiply
    574.14x = 791.46 × 408.72
  4. Step 4: Simplify right side
    574.14x = 323,485.53
  5. Step 5: Solve for x
    x = 323,485.53/574.14
  6. Step 6: Final answer
    x = 563.43

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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.