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Finding the Fourth Proportional to 822.60, 1,233.44 and 335.09

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Solution

The fourth proportional to 822.60, 1,233.44 and 335.09 is: 502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.60 : 1,233.44 = 335.09 : x
  2. Step 2: Convert to fraction form
    822.60/1,233.44 = 335.09/x
  3. Step 3: Cross multiply
    822.60x = 1,233.44 × 335.09
  4. Step 4: Simplify right side
    822.60x = 413,305.57
  5. Step 5: Solve for x
    x = 413,305.57/822.60
  6. Step 6: Final answer
    x = 502.44

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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.