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Finding the Fourth Proportional to 547.49, 755.54 and 298.82

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Solution

The fourth proportional to 547.49, 755.54 and 298.82 is: 412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.49 : 755.54 = 298.82 : x
  2. Step 2: Convert to fraction form
    547.49/755.54 = 298.82/x
  3. Step 3: Cross multiply
    547.49x = 755.54 × 298.82
  4. Step 4: Simplify right side
    547.49x = 225,770.86
  5. Step 5: Solve for x
    x = 225,770.86/547.49
  6. Step 6: Final answer
    x = 412.37

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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.