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Finding the Fourth Proportional to 547.38, 755.42 and 298.71

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Solution

The fourth proportional to 547.38, 755.42 and 298.71 is: 412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.38 : 755.42 = 298.71 : x
  2. Step 2: Convert to fraction form
    547.38/755.42 = 298.71/x
  3. Step 3: Cross multiply
    547.38x = 755.42 × 298.71
  4. Step 4: Simplify right side
    547.38x = 225,650.01
  5. Step 5: Solve for x
    x = 225,650.01/547.38
  6. Step 6: Final answer
    x = 412.24

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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.