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Finding the Fourth Proportional to 547.26, 754.82 and 326.06

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Solution

The fourth proportional to 547.26, 754.82 and 326.06 is: 449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.26 : 754.82 = 326.06 : x
  2. Step 2: Convert to fraction form
    547.26/754.82 = 326.06/x
  3. Step 3: Cross multiply
    547.26x = 754.82 × 326.06
  4. Step 4: Simplify right side
    547.26x = 246,115.26
  5. Step 5: Solve for x
    x = 246,115.26/547.26
  6. Step 6: Final answer
    x = 449.73

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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.