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Finding the Fourth Proportional to 812.25, 1,218.46 and 264.36

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Solution

The fourth proportional to 812.25, 1,218.46 and 264.36 is: 396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.25 : 1,218.46 = 264.36 : x
  2. Step 2: Convert to fraction form
    812.25/1,218.46 = 264.36/x
  3. Step 3: Cross multiply
    812.25x = 1,218.46 × 264.36
  4. Step 4: Simplify right side
    812.25x = 322,107.66
  5. Step 5: Solve for x
    x = 322,107.66/812.25
  6. Step 6: Final answer
    x = 396.56

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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.