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Finding the Fourth Proportional to 559.91, 839.81 and 213.09

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Solution

The fourth proportional to 559.91, 839.81 and 213.09 is: 319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.91 : 839.81 = 213.09 : x
  2. Step 2: Convert to fraction form
    559.91/839.81 = 213.09/x
  3. Step 3: Cross multiply
    559.91x = 839.81 × 213.09
  4. Step 4: Simplify right side
    559.91x = 178,954.05
  5. Step 5: Solve for x
    x = 178,954.05/559.91
  6. Step 6: Final answer
    x = 319.62

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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.