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Finding the Fourth Proportional to 391.68, 587.09 and 254.82

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Solution

The fourth proportional to 391.68, 587.09 and 254.82 is: 381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.68 : 587.09 = 254.82 : x
  2. Step 2: Convert to fraction form
    391.68/587.09 = 254.82/x
  3. Step 3: Cross multiply
    391.68x = 587.09 × 254.82
  4. Step 4: Simplify right side
    391.68x = 149,602.27
  5. Step 5: Solve for x
    x = 149,602.27/391.68
  6. Step 6: Final answer
    x = 381.96

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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.