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Finding the Fourth Proportional to 548.56, 756.30 and 422.71

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Solution

The fourth proportional to 548.56, 756.30 and 422.71 is: 582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.56 : 756.30 = 422.71 : x
  2. Step 2: Convert to fraction form
    548.56/756.30 = 422.71/x
  3. Step 3: Cross multiply
    548.56x = 756.30 × 422.71
  4. Step 4: Simplify right side
    548.56x = 319,695.57
  5. Step 5: Solve for x
    x = 319,695.57/548.56
  6. Step 6: Final answer
    x = 582.79

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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.