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Finding the Fourth Proportional to 812.23, 1,218.36 and 264.40

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Solution

The fourth proportional to 812.23, 1,218.36 and 264.40 is: 396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.23 : 1,218.36 = 264.40 : x
  2. Step 2: Convert to fraction form
    812.23/1,218.36 = 264.40/x
  3. Step 3: Cross multiply
    812.23x = 1,218.36 × 264.40
  4. Step 4: Simplify right side
    812.23x = 322,134.38
  5. Step 5: Solve for x
    x = 322,134.38/812.23
  6. Step 6: Final answer
    x = 396.60

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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.