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Finding the Fourth Proportional to 367.67, 548.64 and 326.70

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Solution

The fourth proportional to 367.67, 548.64 and 326.70 is: 487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.67 : 548.64 = 326.70 : x
  2. Step 2: Convert to fraction form
    367.67/548.64 = 326.70/x
  3. Step 3: Cross multiply
    367.67x = 548.64 × 326.70
  4. Step 4: Simplify right side
    367.67x = 179,240.69
  5. Step 5: Solve for x
    x = 179,240.69/367.67
  6. Step 6: Final answer
    x = 487.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.