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Finding the Fourth Proportional to 367.74, 543.92 and 367.74

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Solution

The fourth proportional to 367.74, 543.92 and 367.74 is: 543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.74 : 543.92 = 367.74 : x
  2. Step 2: Convert to fraction form
    367.74/543.92 = 367.74/x
  3. Step 3: Cross multiply
    367.74x = 543.92 × 367.74
  4. Step 4: Simplify right side
    367.74x = 200,019.30
  5. Step 5: Solve for x
    x = 200,019.30/367.74
  6. Step 6: Final answer
    x = 543.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.