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Finding the Fourth Proportional to 547.44, 755.48 and 298.78

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Solution

The fourth proportional to 547.44, 755.48 and 298.78 is: 412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.44 : 755.48 = 298.78 : x
  2. Step 2: Convert to fraction form
    547.44/755.48 = 298.78/x
  3. Step 3: Cross multiply
    547.44x = 755.48 × 298.78
  4. Step 4: Simplify right side
    547.44x = 225,721.62
  5. Step 5: Solve for x
    x = 225,721.62/547.44
  6. Step 6: Final answer
    x = 412.32

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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.