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Finding the Fourth Proportional to 392.42, 588.78 and 194.91

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Solution

The fourth proportional to 392.42, 588.78 and 194.91 is: 292.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.42 : 588.78 = 194.91 : x
  2. Step 2: Convert to fraction form
    392.42/588.78 = 194.91/x
  3. Step 3: Cross multiply
    392.42x = 588.78 × 194.91
  4. Step 4: Simplify right side
    392.42x = 114,759.11
  5. Step 5: Solve for x
    x = 114,759.11/392.42
  6. Step 6: Final answer
    x = 292.44

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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.