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Finding the Fourth Proportional to 589.87, 884.82 and 219.76

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Solution

The fourth proportional to 589.87, 884.82 and 219.76 is: 329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.87 : 884.82 = 219.76 : x
  2. Step 2: Convert to fraction form
    589.87/884.82 = 219.76/x
  3. Step 3: Cross multiply
    589.87x = 884.82 × 219.76
  4. Step 4: Simplify right side
    589.87x = 194,448.04
  5. Step 5: Solve for x
    x = 194,448.04/589.87
  6. Step 6: Final answer
    x = 329.65

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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.