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Finding the Fourth Proportional to 367.24, 506.76 and 209.84

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Solution

The fourth proportional to 367.24, 506.76 and 209.84 is: 289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.24 : 506.76 = 209.84 : x
  2. Step 2: Convert to fraction form
    367.24/506.76 = 209.84/x
  3. Step 3: Cross multiply
    367.24x = 506.76 × 209.84
  4. Step 4: Simplify right side
    367.24x = 106,339.67
  5. Step 5: Solve for x
    x = 106,339.67/367.24
  6. Step 6: Final answer
    x = 289.56

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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.