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Finding the Fourth Proportional to 822.43, 1,233.63 and 335.37

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Solution

The fourth proportional to 822.43, 1,233.63 and 335.37 is: 503.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.43 : 1,233.63 = 335.37 : x
  2. Step 2: Convert to fraction form
    822.43/1,233.63 = 335.37/x
  3. Step 3: Cross multiply
    822.43x = 1,233.63 × 335.37
  4. Step 4: Simplify right side
    822.43x = 413,716.32
  5. Step 5: Solve for x
    x = 413,716.32/822.43
  6. Step 6: Final answer
    x = 503.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.