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Finding the Fourth Proportional to 546.75, 755.13 and 371.79

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Solution

The fourth proportional to 546.75, 755.13 and 371.79 is: 513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 755.13 = 371.79 : x
  2. Step 2: Convert to fraction form
    546.75/755.13 = 371.79/x
  3. Step 3: Cross multiply
    546.75x = 755.13 × 371.79
  4. Step 4: Simplify right side
    546.75x = 280,749.78
  5. Step 5: Solve for x
    x = 280,749.78/546.75
  6. Step 6: Final answer
    x = 513.49

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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.