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Finding the Fourth Proportional to 367.62, 506.43 and 319.02

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Solution

The fourth proportional to 367.62, 506.43 and 319.02 is: 439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.62 : 506.43 = 319.02 : x
  2. Step 2: Convert to fraction form
    367.62/506.43 = 319.02/x
  3. Step 3: Cross multiply
    367.62x = 506.43 × 319.02
  4. Step 4: Simplify right side
    367.62x = 161,561.30
  5. Step 5: Solve for x
    x = 161,561.30/367.62
  6. Step 6: Final answer
    x = 439.48

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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.