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Finding the Fourth Proportional to 823.22, 1,235.17 and 361.33

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Solution

The fourth proportional to 823.22, 1,235.17 and 361.33 is: 542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.22 : 1,235.17 = 361.33 : x
  2. Step 2: Convert to fraction form
    823.22/1,235.17 = 361.33/x
  3. Step 3: Cross multiply
    823.22x = 1,235.17 × 361.33
  4. Step 4: Simplify right side
    823.22x = 446,299.98
  5. Step 5: Solve for x
    x = 446,299.98/823.22
  6. Step 6: Final answer
    x = 542.14

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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.