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Finding the Fourth Proportional to 816.26, 1,224.40 and 231.23

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Solution

The fourth proportional to 816.26, 1,224.40 and 231.23 is: 346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.26 : 1,224.40 = 231.23 : x
  2. Step 2: Convert to fraction form
    816.26/1,224.40 = 231.23/x
  3. Step 3: Cross multiply
    816.26x = 1,224.40 × 231.23
  4. Step 4: Simplify right side
    816.26x = 283,121.36
  5. Step 5: Solve for x
    x = 283,121.36/816.26
  6. Step 6: Final answer
    x = 346.85

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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.