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Finding the Fourth Proportional to 548.56, 756.97 and 312.51

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Solution

The fourth proportional to 548.56, 756.97 and 312.51 is: 431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.56 : 756.97 = 312.51 : x
  2. Step 2: Convert to fraction form
    548.56/756.97 = 312.51/x
  3. Step 3: Cross multiply
    548.56x = 756.97 × 312.51
  4. Step 4: Simplify right side
    548.56x = 236,560.69
  5. Step 5: Solve for x
    x = 236,560.69/548.56
  6. Step 6: Final answer
    x = 431.24

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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.