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Finding the Fourth Proportional to 812.31, 1,217.67 and 264.16

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Solution

The fourth proportional to 812.31, 1,217.67 and 264.16 is: 395.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.31 : 1,217.67 = 264.16 : x
  2. Step 2: Convert to fraction form
    812.31/1,217.67 = 264.16/x
  3. Step 3: Cross multiply
    812.31x = 1,217.67 × 264.16
  4. Step 4: Simplify right side
    812.31x = 321,659.71
  5. Step 5: Solve for x
    x = 321,659.71/812.31
  6. Step 6: Final answer
    x = 395.98

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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.