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Finding the Fourth Proportional to 547.46, 755.46 and 326.43

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Solution

The fourth proportional to 547.46, 755.46 and 326.43 is: 450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.46 : 755.46 = 326.43 : x
  2. Step 2: Convert to fraction form
    547.46/755.46 = 326.43/x
  3. Step 3: Cross multiply
    547.46x = 755.46 × 326.43
  4. Step 4: Simplify right side
    547.46x = 246,604.81
  5. Step 5: Solve for x
    x = 246,604.81/547.46
  6. Step 6: Final answer
    x = 450.45

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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.