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Finding the Fourth Proportional to 823.21, 1,233.60 and 360.57

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Solution

The fourth proportional to 823.21, 1,233.60 and 360.57 is: 540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.21 : 1,233.60 = 360.57 : x
  2. Step 2: Convert to fraction form
    823.21/1,233.60 = 360.57/x
  3. Step 3: Cross multiply
    823.21x = 1,233.60 × 360.57
  4. Step 4: Simplify right side
    823.21x = 444,799.15
  5. Step 5: Solve for x
    x = 444,799.15/823.21
  6. Step 6: Final answer
    x = 540.32

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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.