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Finding the Fourth Proportional to 392.05, 589.14 and 209.57

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Solution

The fourth proportional to 392.05, 589.14 and 209.57 is: 314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.05 : 589.14 = 209.57 : x
  2. Step 2: Convert to fraction form
    392.05/589.14 = 209.57/x
  3. Step 3: Cross multiply
    392.05x = 589.14 × 209.57
  4. Step 4: Simplify right side
    392.05x = 123,466.07
  5. Step 5: Solve for x
    x = 123,466.07/392.05
  6. Step 6: Final answer
    x = 314.92

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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.