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Finding the Fourth Proportional to 808.96, 1,213.42 and 231.82

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Solution

The fourth proportional to 808.96, 1,213.42 and 231.82 is: 347.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.96 : 1,213.42 = 231.82 : x
  2. Step 2: Convert to fraction form
    808.96/1,213.42 = 231.82/x
  3. Step 3: Cross multiply
    808.96x = 1,213.42 × 231.82
  4. Step 4: Simplify right side
    808.96x = 281,295.02
  5. Step 5: Solve for x
    x = 281,295.02/808.96
  6. Step 6: Final answer
    x = 347.72

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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.