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Finding the Fourth Proportional to 391.41, 587.12 and 185.77

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Solution

The fourth proportional to 391.41, 587.12 and 185.77 is: 278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.41 : 587.12 = 185.77 : x
  2. Step 2: Convert to fraction form
    391.41/587.12 = 185.77/x
  3. Step 3: Cross multiply
    391.41x = 587.12 × 185.77
  4. Step 4: Simplify right side
    391.41x = 109,069.09
  5. Step 5: Solve for x
    x = 109,069.09/391.41
  6. Step 6: Final answer
    x = 278.66

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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.