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Finding the Fourth Proportional to 367.17, 506.74 and 209.83

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Solution

The fourth proportional to 367.17, 506.74 and 209.83 is: 289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.17 : 506.74 = 209.83 : x
  2. Step 2: Convert to fraction form
    367.17/506.74 = 209.83/x
  3. Step 3: Cross multiply
    367.17x = 506.74 × 209.83
  4. Step 4: Simplify right side
    367.17x = 106,327.46
  5. Step 5: Solve for x
    x = 106,327.46/367.17
  6. Step 6: Final answer
    x = 289.59

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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.