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Finding the Fourth Proportional to 367.32, 506.89 and 209.96

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Solution

The fourth proportional to 367.32, 506.89 and 209.96 is: 289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.32 : 506.89 = 209.96 : x
  2. Step 2: Convert to fraction form
    367.32/506.89 = 209.96/x
  3. Step 3: Cross multiply
    367.32x = 506.89 × 209.96
  4. Step 4: Simplify right side
    367.32x = 106,426.62
  5. Step 5: Solve for x
    x = 106,426.62/367.32
  6. Step 6: Final answer
    x = 289.74

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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.