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Finding the Fourth Proportional to 366.83, 506.24 and 209.47

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Solution

The fourth proportional to 366.83, 506.24 and 209.47 is: 289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.83 : 506.24 = 209.47 : x
  2. Step 2: Convert to fraction form
    366.83/506.24 = 209.47/x
  3. Step 3: Cross multiply
    366.83x = 506.24 × 209.47
  4. Step 4: Simplify right side
    366.83x = 106,042.15
  5. Step 5: Solve for x
    x = 106,042.15/366.83
  6. Step 6: Final answer
    x = 289.08

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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.