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Finding the Fourth Proportional to 823.26, 1,233.90 and 360.93

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Solution

The fourth proportional to 823.26, 1,233.90 and 360.93 is: 540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.26 : 1,233.90 = 360.93 : x
  2. Step 2: Convert to fraction form
    823.26/1,233.90 = 360.93/x
  3. Step 3: Cross multiply
    823.26x = 1,233.90 × 360.93
  4. Step 4: Simplify right side
    823.26x = 445,351.53
  5. Step 5: Solve for x
    x = 445,351.53/823.26
  6. Step 6: Final answer
    x = 540.96

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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.