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Finding the Fourth Proportional to 812.23, 1,217.93 and 264.22

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Solution

The fourth proportional to 812.23, 1,217.93 and 264.22 is: 396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.23 : 1,217.93 = 264.22 : x
  2. Step 2: Convert to fraction form
    812.23/1,217.93 = 264.22/x
  3. Step 3: Cross multiply
    812.23x = 1,217.93 × 264.22
  4. Step 4: Simplify right side
    812.23x = 321,797.10
  5. Step 5: Solve for x
    x = 321,797.10/812.23
  6. Step 6: Final answer
    x = 396.19

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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.