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Finding the Fourth Proportional to 822.24, 1,233.90 and 309.24

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Solution

The fourth proportional to 822.24, 1,233.90 and 309.24 is: 464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.24 : 1,233.90 = 309.24 : x
  2. Step 2: Convert to fraction form
    822.24/1,233.90 = 309.24/x
  3. Step 3: Cross multiply
    822.24x = 1,233.90 × 309.24
  4. Step 4: Simplify right side
    822.24x = 381,571.24
  5. Step 5: Solve for x
    x = 381,571.24/822.24
  6. Step 6: Final answer
    x = 464.06

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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.