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Finding the Fourth Proportional to 591.18, 884.94 and 327.27

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Solution

The fourth proportional to 591.18, 884.94 and 327.27 is: 489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.18 : 884.94 = 327.27 : x
  2. Step 2: Convert to fraction form
    591.18/884.94 = 327.27/x
  3. Step 3: Cross multiply
    591.18x = 884.94 × 327.27
  4. Step 4: Simplify right side
    591.18x = 289,614.31
  5. Step 5: Solve for x
    x = 289,614.31/591.18
  6. Step 6: Final answer
    x = 489.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.