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Finding the Fourth Proportional to 392.84, 589.16 and 200.44

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Solution

The fourth proportional to 392.84, 589.16 and 200.44 is: 300.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.84 : 589.16 = 200.44 : x
  2. Step 2: Convert to fraction form
    392.84/589.16 = 200.44/x
  3. Step 3: Cross multiply
    392.84x = 589.16 × 200.44
  4. Step 4: Simplify right side
    392.84x = 118,091.23
  5. Step 5: Solve for x
    x = 118,091.23/392.84
  6. Step 6: Final answer
    x = 300.61

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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.