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Finding the Fourth Proportional to 809.10, 1,213.29 and 231.84

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Solution

The fourth proportional to 809.10, 1,213.29 and 231.84 is: 347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.10 : 1,213.29 = 231.84 : x
  2. Step 2: Convert to fraction form
    809.10/1,213.29 = 231.84/x
  3. Step 3: Cross multiply
    809.10x = 1,213.29 × 231.84
  4. Step 4: Simplify right side
    809.10x = 281,289.15
  5. Step 5: Solve for x
    x = 281,289.15/809.10
  6. Step 6: Final answer
    x = 347.66

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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.