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Finding the Fourth Proportional to 559.53, 839.36 and 213.13

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Solution

The fourth proportional to 559.53, 839.36 and 213.13 is: 319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.53 : 839.36 = 213.13 : x
  2. Step 2: Convert to fraction form
    559.53/839.36 = 213.13/x
  3. Step 3: Cross multiply
    559.53x = 839.36 × 213.13
  4. Step 4: Simplify right side
    559.53x = 178,888.60
  5. Step 5: Solve for x
    x = 178,888.60/559.53
  6. Step 6: Final answer
    x = 319.71

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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.