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Finding the Fourth Proportional to 367.42, 506.94 and 234.72

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Solution

The fourth proportional to 367.42, 506.94 and 234.72 is: 323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.42 : 506.94 = 234.72 : x
  2. Step 2: Convert to fraction form
    367.42/506.94 = 234.72/x
  3. Step 3: Cross multiply
    367.42x = 506.94 × 234.72
  4. Step 4: Simplify right side
    367.42x = 118,988.96
  5. Step 5: Solve for x
    x = 118,988.96/367.42
  6. Step 6: Final answer
    x = 323.85

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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.