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Finding the Fourth Proportional to 589.89, 814.09 and 327.92

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Solution

The fourth proportional to 589.89, 814.09 and 327.92 is: 452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.89 : 814.09 = 327.92 : x
  2. Step 2: Convert to fraction form
    589.89/814.09 = 327.92/x
  3. Step 3: Cross multiply
    589.89x = 814.09 × 327.92
  4. Step 4: Simplify right side
    589.89x = 266,958.84
  5. Step 5: Solve for x
    x = 266,958.84/589.89
  6. Step 6: Final answer
    x = 452.56

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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.