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Finding the Fourth Proportional to 548.27, 756.74 and 361.67

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Solution

The fourth proportional to 548.27, 756.74 and 361.67 is: 499.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.27 : 756.74 = 361.67 : x
  2. Step 2: Convert to fraction form
    548.27/756.74 = 361.67/x
  3. Step 3: Cross multiply
    548.27x = 756.74 × 361.67
  4. Step 4: Simplify right side
    548.27x = 273,687.28
  5. Step 5: Solve for x
    x = 273,687.28/548.27
  6. Step 6: Final answer
    x = 499.18

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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.