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Finding the Fourth Proportional to 824.23, 1,236.03 and 276.28

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Solution

The fourth proportional to 824.23, 1,236.03 and 276.28 is: 414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.23 : 1,236.03 = 276.28 : x
  2. Step 2: Convert to fraction form
    824.23/1,236.03 = 276.28/x
  3. Step 3: Cross multiply
    824.23x = 1,236.03 × 276.28
  4. Step 4: Simplify right side
    824.23x = 341,487.80
  5. Step 5: Solve for x
    x = 341,487.80/824.23
  6. Step 6: Final answer
    x = 414.31

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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.