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Finding the Fourth Proportional to 823, 1,234.02 and 361.08

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Solution

The fourth proportional to 823, 1,234.02 and 361.08 is: 541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    823 : 1,234.02 = 361.08 : x
  2. Step 2: Convert to fraction form
    823/1,234.02 = 361.08/x
  3. Step 3: Cross multiply
    823x = 1,234.02 × 361.08
  4. Step 4: Simplify right side
    823x = 445,579.94
  5. Step 5: Solve for x
    x = 445,579.94/823
  6. Step 6: Final answer
    x = 541.41

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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.