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Finding the Fourth Proportional to 392.84, 588.60 and 255.68

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Solution

The fourth proportional to 392.84, 588.60 and 255.68 is: 383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.84 : 588.60 = 255.68 : x
  2. Step 2: Convert to fraction form
    392.84/588.60 = 255.68/x
  3. Step 3: Cross multiply
    392.84x = 588.60 × 255.68
  4. Step 4: Simplify right side
    392.84x = 150,493.25
  5. Step 5: Solve for x
    x = 150,493.25/392.84
  6. Step 6: Final answer
    x = 383.09

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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.