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Finding the Fourth Proportional to 392.75, 589.17 and 209.89

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Solution

The fourth proportional to 392.75, 589.17 and 209.89 is: 314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.75 : 589.17 = 209.89 : x
  2. Step 2: Convert to fraction form
    392.75/589.17 = 209.89/x
  3. Step 3: Cross multiply
    392.75x = 589.17 × 209.89
  4. Step 4: Simplify right side
    392.75x = 123,662.41
  5. Step 5: Solve for x
    x = 123,662.41/392.75
  6. Step 6: Final answer
    x = 314.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.