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Finding the Fourth Proportional to 824.37, 1,236.72 and 269.24

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Solution

The fourth proportional to 824.37, 1,236.72 and 269.24 is: 403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.37 : 1,236.72 = 269.24 : x
  2. Step 2: Convert to fraction form
    824.37/1,236.72 = 269.24/x
  3. Step 3: Cross multiply
    824.37x = 1,236.72 × 269.24
  4. Step 4: Simplify right side
    824.37x = 332,967.80
  5. Step 5: Solve for x
    x = 332,967.80/824.37
  6. Step 6: Final answer
    x = 403.90

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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.