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Finding the Fourth Proportional to 367.15, 506.14 and 323.08

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Solution

The fourth proportional to 367.15, 506.14 and 323.08 is: 445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.15 : 506.14 = 323.08 : x
  2. Step 2: Convert to fraction form
    367.15/506.14 = 323.08/x
  3. Step 3: Cross multiply
    367.15x = 506.14 × 323.08
  4. Step 4: Simplify right side
    367.15x = 163,523.71
  5. Step 5: Solve for x
    x = 163,523.71/367.15
  6. Step 6: Final answer
    x = 445.39

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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.