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Finding the Fourth Proportional to 559.26, 838.96 and 212.72

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Solution

The fourth proportional to 559.26, 838.96 and 212.72 is: 319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.26 : 838.96 = 212.72 : x
  2. Step 2: Convert to fraction form
    559.26/838.96 = 212.72/x
  3. Step 3: Cross multiply
    559.26x = 838.96 × 212.72
  4. Step 4: Simplify right side
    559.26x = 178,463.57
  5. Step 5: Solve for x
    x = 178,463.57/559.26
  6. Step 6: Final answer
    x = 319.11

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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.