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Finding the Fourth Proportional to 392.40, 588.96 and 200.16

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Solution

The fourth proportional to 392.40, 588.96 and 200.16 is: 300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.40 : 588.96 = 200.16 : x
  2. Step 2: Convert to fraction form
    392.40/588.96 = 200.16/x
  3. Step 3: Cross multiply
    392.40x = 588.96 × 200.16
  4. Step 4: Simplify right side
    392.40x = 117,886.23
  5. Step 5: Solve for x
    x = 117,886.23/392.40
  6. Step 6: Final answer
    x = 300.42

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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.