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Finding the Fourth Proportional to 822.35, 1,233.15 and 301.97

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Solution

The fourth proportional to 822.35, 1,233.15 and 301.97 is: 452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.35 : 1,233.15 = 301.97 : x
  2. Step 2: Convert to fraction form
    822.35/1,233.15 = 301.97/x
  3. Step 3: Cross multiply
    822.35x = 1,233.15 × 301.97
  4. Step 4: Simplify right side
    822.35x = 372,374.31
  5. Step 5: Solve for x
    x = 372,374.31/822.35
  6. Step 6: Final answer
    x = 452.82

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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.