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Finding the Fourth Proportional to 571.86, 789.12 and 323.19

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Solution

The fourth proportional to 571.86, 789.12 and 323.19 is: 445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.86 : 789.12 = 323.19 : x
  2. Step 2: Convert to fraction form
    571.86/789.12 = 323.19/x
  3. Step 3: Cross multiply
    571.86x = 789.12 × 323.19
  4. Step 4: Simplify right side
    571.86x = 255,035.69
  5. Step 5: Solve for x
    x = 255,035.69/571.86
  6. Step 6: Final answer
    x = 445.98

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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.