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Finding the Fourth Proportional to 824, 1,236.36 and 311.36

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Solution

The fourth proportional to 824, 1,236.36 and 311.36 is: 467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    824 : 1,236.36 = 311.36 : x
  2. Step 2: Convert to fraction form
    824/1,236.36 = 311.36/x
  3. Step 3: Cross multiply
    824x = 1,236.36 × 311.36
  4. Step 4: Simplify right side
    824x = 384,953.05
  5. Step 5: Solve for x
    x = 384,953.05/824
  6. Step 6: Final answer
    x = 467.18

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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.