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Finding the Fourth Proportional to 392.41, 588.62 and 186.77

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Solution

The fourth proportional to 392.41, 588.62 and 186.77 is: 280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.41 : 588.62 = 186.77 : x
  2. Step 2: Convert to fraction form
    392.41/588.62 = 186.77/x
  3. Step 3: Cross multiply
    392.41x = 588.62 × 186.77
  4. Step 4: Simplify right side
    392.41x = 109,936.56
  5. Step 5: Solve for x
    x = 109,936.56/392.41
  6. Step 6: Final answer
    x = 280.16

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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.