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Finding the Fourth Proportional to 571.86, 789.14 and 323.18

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Solution

The fourth proportional to 571.86, 789.14 and 323.18 is: 445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.86 : 789.14 = 323.18 : x
  2. Step 2: Convert to fraction form
    571.86/789.14 = 323.18/x
  3. Step 3: Cross multiply
    571.86x = 789.14 × 323.18
  4. Step 4: Simplify right side
    571.86x = 255,034.27
  5. Step 5: Solve for x
    x = 255,034.27/571.86
  6. Step 6: Final answer
    x = 445.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.