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Finding the Fourth Proportional to 548.76, 757.92 and 496.29

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Solution

The fourth proportional to 548.76, 757.92 and 496.29 is: 685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.76 : 757.92 = 496.29 : x
  2. Step 2: Convert to fraction form
    548.76/757.92 = 496.29/x
  3. Step 3: Cross multiply
    548.76x = 757.92 × 496.29
  4. Step 4: Simplify right side
    548.76x = 376,148.12
  5. Step 5: Solve for x
    x = 376,148.12/548.76
  6. Step 6: Final answer
    x = 685.45

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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.