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Finding the Fourth Proportional to 367.13, 506.66 and 274.12

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Solution

The fourth proportional to 367.13, 506.66 and 274.12 is: 378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.13 : 506.66 = 274.12 : x
  2. Step 2: Convert to fraction form
    367.13/506.66 = 274.12/x
  3. Step 3: Cross multiply
    367.13x = 506.66 × 274.12
  4. Step 4: Simplify right side
    367.13x = 138,885.64
  5. Step 5: Solve for x
    x = 138,885.64/367.13
  6. Step 6: Final answer
    x = 378.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.