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Finding the Fourth Proportional to 822.83, 1,233.43 and 329.06

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Solution

The fourth proportional to 822.83, 1,233.43 and 329.06 is: 493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.83 : 1,233.43 = 329.06 : x
  2. Step 2: Convert to fraction form
    822.83/1,233.43 = 329.06/x
  3. Step 3: Cross multiply
    822.83x = 1,233.43 × 329.06
  4. Step 4: Simplify right side
    822.83x = 405,872.48
  5. Step 5: Solve for x
    x = 405,872.48/822.83
  6. Step 6: Final answer
    x = 493.26

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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.