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Finding the Fourth Proportional to 571.78, 789.05 and 323.09

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Solution

The fourth proportional to 571.78, 789.05 and 323.09 is: 445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.78 : 789.05 = 323.09 : x
  2. Step 2: Convert to fraction form
    571.78/789.05 = 323.09/x
  3. Step 3: Cross multiply
    571.78x = 789.05 × 323.09
  4. Step 4: Simplify right side
    571.78x = 254,934.52
  5. Step 5: Solve for x
    x = 254,934.52/571.78
  6. Step 6: Final answer
    x = 445.86

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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.