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Finding the Fourth Proportional to 822.30, 1,233.12 and 335.17

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Solution

The fourth proportional to 822.30, 1,233.12 and 335.17 is: 502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.30 : 1,233.12 = 335.17 : x
  2. Step 2: Convert to fraction form
    822.30/1,233.12 = 335.17/x
  3. Step 3: Cross multiply
    822.30x = 1,233.12 × 335.17
  4. Step 4: Simplify right side
    822.30x = 413,304.83
  5. Step 5: Solve for x
    x = 413,304.83/822.30
  6. Step 6: Final answer
    x = 502.62

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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.