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Finding the Fourth Proportional to 548.72, 757.22 and 306.16

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Solution

The fourth proportional to 548.72, 757.22 and 306.16 is: 422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.72 : 757.22 = 306.16 : x
  2. Step 2: Convert to fraction form
    548.72/757.22 = 306.16/x
  3. Step 3: Cross multiply
    548.72x = 757.22 × 306.16
  4. Step 4: Simplify right side
    548.72x = 231,831.24
  5. Step 5: Solve for x
    x = 231,831.24/548.72
  6. Step 6: Final answer
    x = 422.49

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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.