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Finding the Fourth Proportional to 392.89, 589.51 and 200.65

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Solution

The fourth proportional to 392.89, 589.51 and 200.65 is: 301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.89 : 589.51 = 200.65 : x
  2. Step 2: Convert to fraction form
    392.89/589.51 = 200.65/x
  3. Step 3: Cross multiply
    392.89x = 589.51 × 200.65
  4. Step 4: Simplify right side
    392.89x = 118,282.23
  5. Step 5: Solve for x
    x = 118,282.23/392.89
  6. Step 6: Final answer
    x = 301.06

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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.