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Finding the Fourth Proportional to 547.43, 755.07 and 326.22

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Solution

The fourth proportional to 547.43, 755.07 and 326.22 is: 449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.43 : 755.07 = 326.22 : x
  2. Step 2: Convert to fraction form
    547.43/755.07 = 326.22/x
  3. Step 3: Cross multiply
    547.43x = 755.07 × 326.22
  4. Step 4: Simplify right side
    547.43x = 246,318.94
  5. Step 5: Solve for x
    x = 246,318.94/547.43
  6. Step 6: Final answer
    x = 449.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.