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Finding the Fourth Proportional to 392.95, 589.43 and 200.71

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Solution

The fourth proportional to 392.95, 589.43 and 200.71 is: 301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.95 : 589.43 = 200.71 : x
  2. Step 2: Convert to fraction form
    392.95/589.43 = 200.71/x
  3. Step 3: Cross multiply
    392.95x = 589.43 × 200.71
  4. Step 4: Simplify right side
    392.95x = 118,304.50
  5. Step 5: Solve for x
    x = 118,304.50/392.95
  6. Step 6: Final answer
    x = 301.07

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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.