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Finding the Fourth Proportional to 366.71, 506.01 and 209.31

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Solution

The fourth proportional to 366.71, 506.01 and 209.31 is: 288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.71 : 506.01 = 209.31 : x
  2. Step 2: Convert to fraction form
    366.71/506.01 = 209.31/x
  3. Step 3: Cross multiply
    366.71x = 506.01 × 209.31
  4. Step 4: Simplify right side
    366.71x = 105,912.95
  5. Step 5: Solve for x
    x = 105,912.95/366.71
  6. Step 6: Final answer
    x = 288.82

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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.