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Finding the Fourth Proportional to 547.75, 755.49 and 381.97

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Solution

The fourth proportional to 547.75, 755.49 and 381.97 is: 526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.75 : 755.49 = 381.97 : x
  2. Step 2: Convert to fraction form
    547.75/755.49 = 381.97/x
  3. Step 3: Cross multiply
    547.75x = 755.49 × 381.97
  4. Step 4: Simplify right side
    547.75x = 288,574.52
  5. Step 5: Solve for x
    x = 288,574.52/547.75
  6. Step 6: Final answer
    x = 526.84

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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.