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Finding the Fourth Proportional to 392.29, 589.12 and 209.82

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Solution

The fourth proportional to 392.29, 589.12 and 209.82 is: 315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.29 : 589.12 = 209.82 : x
  2. Step 2: Convert to fraction form
    392.29/589.12 = 209.82/x
  3. Step 3: Cross multiply
    392.29x = 589.12 × 209.82
  4. Step 4: Simplify right side
    392.29x = 123,607.05
  5. Step 5: Solve for x
    x = 123,607.05/392.29
  6. Step 6: Final answer
    x = 315.09

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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.