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Finding the Fourth Proportional to 559.83, 839.73 and 213.06

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Solution

The fourth proportional to 559.83, 839.73 and 213.06 is: 319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.83 : 839.73 = 213.06 : x
  2. Step 2: Convert to fraction form
    559.83/839.73 = 213.06/x
  3. Step 3: Cross multiply
    559.83x = 839.73 × 213.06
  4. Step 4: Simplify right side
    559.83x = 178,912.87
  5. Step 5: Solve for x
    x = 178,912.87/559.83
  6. Step 6: Final answer
    x = 319.58

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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.