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Finding the Fourth Proportional to 392.64, 589.16 and 200.28

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Solution

The fourth proportional to 392.64, 589.16 and 200.28 is: 300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.64 : 589.16 = 200.28 : x
  2. Step 2: Convert to fraction form
    392.64/589.16 = 200.28/x
  3. Step 3: Cross multiply
    392.64x = 589.16 × 200.28
  4. Step 4: Simplify right side
    392.64x = 117,996.96
  5. Step 5: Solve for x
    x = 117,996.96/392.64
  6. Step 6: Final answer
    x = 300.52

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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.