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Finding the Fourth Proportional to 264.43, 396.67 and 69.43

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Solution

The fourth proportional to 264.43, 396.67 and 69.43 is: 104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.43 : 396.67 = 69.43 : x
  2. Step 2: Convert to fraction form
    264.43/396.67 = 69.43/x
  3. Step 3: Cross multiply
    264.43x = 396.67 × 69.43
  4. Step 4: Simplify right side
    264.43x = 27,540.31
  5. Step 5: Solve for x
    x = 27,540.31/264.43
  6. Step 6: Final answer
    x = 104.15

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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.