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Finding the Fourth Proportional to 574.75, 791.41 and 491.67

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Solution

The fourth proportional to 574.75, 791.41 and 491.67 is: 677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.75 : 791.41 = 491.67 : x
  2. Step 2: Convert to fraction form
    574.75/791.41 = 491.67/x
  3. Step 3: Cross multiply
    574.75x = 791.41 × 491.67
  4. Step 4: Simplify right side
    574.75x = 389,112.55
  5. Step 5: Solve for x
    x = 389,112.55/574.75
  6. Step 6: Final answer
    x = 677.01

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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.