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Finding the Fourth Proportional to 571.56, 789.09 and 361.91

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Solution

The fourth proportional to 571.56, 789.09 and 361.91 is: 499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.56 : 789.09 = 361.91 : x
  2. Step 2: Convert to fraction form
    571.56/789.09 = 361.91/x
  3. Step 3: Cross multiply
    571.56x = 789.09 × 361.91
  4. Step 4: Simplify right side
    571.56x = 285,581.08
  5. Step 5: Solve for x
    x = 285,581.08/571.56
  6. Step 6: Final answer
    x = 499.65

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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.