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Finding the Fourth Proportional to 824.29, 1,236.09 and 361.83

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Solution

The fourth proportional to 824.29, 1,236.09 and 361.83 is: 542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.29 : 1,236.09 = 361.83 : x
  2. Step 2: Convert to fraction form
    824.29/1,236.09 = 361.83/x
  3. Step 3: Cross multiply
    824.29x = 1,236.09 × 361.83
  4. Step 4: Simplify right side
    824.29x = 447,254.44
  5. Step 5: Solve for x
    x = 447,254.44/824.29
  6. Step 6: Final answer
    x = 542.59

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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.