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Finding the Fourth Proportional to 392.78, 588.44 and 238.14

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Solution

The fourth proportional to 392.78, 588.44 and 238.14 is: 356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.78 : 588.44 = 238.14 : x
  2. Step 2: Convert to fraction form
    392.78/588.44 = 238.14/x
  3. Step 3: Cross multiply
    392.78x = 588.44 × 238.14
  4. Step 4: Simplify right side
    392.78x = 140,131.10
  5. Step 5: Solve for x
    x = 140,131.10/392.78
  6. Step 6: Final answer
    x = 356.77

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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.