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Finding the Fourth Proportional to 824.27, 1,236.36 and 276.41

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Solution

The fourth proportional to 824.27, 1,236.36 and 276.41 is: 414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.27 : 1,236.36 = 276.41 : x
  2. Step 2: Convert to fraction form
    824.27/1,236.36 = 276.41/x
  3. Step 3: Cross multiply
    824.27x = 1,236.36 × 276.41
  4. Step 4: Simplify right side
    824.27x = 341,736.09
  5. Step 5: Solve for x
    x = 341,736.09/824.27
  6. Step 6: Final answer
    x = 414.59

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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.