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Finding the Fourth Proportional to 822.37, 1,233.92 and 309.25

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Solution

The fourth proportional to 822.37, 1,233.92 and 309.25 is: 464.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.37 : 1,233.92 = 309.25 : x
  2. Step 2: Convert to fraction form
    822.37/1,233.92 = 309.25/x
  3. Step 3: Cross multiply
    822.37x = 1,233.92 × 309.25
  4. Step 4: Simplify right side
    822.37x = 381,589.76
  5. Step 5: Solve for x
    x = 381,589.76/822.37
  6. Step 6: Final answer
    x = 464.01

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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.