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Finding the Fourth Proportional to 367.38, 506.64 and 274.35

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Solution

The fourth proportional to 367.38, 506.64 and 274.35 is: 378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.38 : 506.64 = 274.35 : x
  2. Step 2: Convert to fraction form
    367.38/506.64 = 274.35/x
  3. Step 3: Cross multiply
    367.38x = 506.64 × 274.35
  4. Step 4: Simplify right side
    367.38x = 138,996.68
  5. Step 5: Solve for x
    x = 138,996.68/367.38
  6. Step 6: Final answer
    x = 378.35

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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.