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Finding the Fourth Proportional to 548.97, 757.49 and 312.87

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Solution

The fourth proportional to 548.97, 757.49 and 312.87 is: 431.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.97 : 757.49 = 312.87 : x
  2. Step 2: Convert to fraction form
    548.97/757.49 = 312.87/x
  3. Step 3: Cross multiply
    548.97x = 757.49 × 312.87
  4. Step 4: Simplify right side
    548.97x = 236,997.17
  5. Step 5: Solve for x
    x = 236,997.17/548.97
  6. Step 6: Final answer
    x = 431.72

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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.