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Finding the Fourth Proportional to 546.75, 755.42 and 487.22

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Solution

The fourth proportional to 546.75, 755.42 and 487.22 is: 673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 755.42 = 487.22 : x
  2. Step 2: Convert to fraction form
    546.75/755.42 = 487.22/x
  3. Step 3: Cross multiply
    546.75x = 755.42 × 487.22
  4. Step 4: Simplify right side
    546.75x = 368,049.52
  5. Step 5: Solve for x
    x = 368,049.52/546.75
  6. Step 6: Final answer
    x = 673.16

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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.