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Finding the Fourth Proportional to 824.25, 1,236.38 and 216.25

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Solution

The fourth proportional to 824.25, 1,236.38 and 216.25 is: 324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.25 : 1,236.38 = 216.25 : x
  2. Step 2: Convert to fraction form
    824.25/1,236.38 = 216.25/x
  3. Step 3: Cross multiply
    824.25x = 1,236.38 × 216.25
  4. Step 4: Simplify right side
    824.25x = 267,367.18
  5. Step 5: Solve for x
    x = 267,367.18/824.25
  6. Step 6: Final answer
    x = 324.38

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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.