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Finding the Fourth Proportional to 824.15, 1,236.22 and 330.78

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Solution

The fourth proportional to 824.15, 1,236.22 and 330.78 is: 496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.15 : 1,236.22 = 330.78 : x
  2. Step 2: Convert to fraction form
    824.15/1,236.22 = 330.78/x
  3. Step 3: Cross multiply
    824.15x = 1,236.22 × 330.78
  4. Step 4: Simplify right side
    824.15x = 408,916.02
  5. Step 5: Solve for x
    x = 408,916.02/824.15
  6. Step 6: Final answer
    x = 496.17

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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.