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Finding the Fourth Proportional to 391.03, 585.78 and 208.17

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Solution

The fourth proportional to 391.03, 585.78 and 208.17 is: 311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.03 : 585.78 = 208.17 : x
  2. Step 2: Convert to fraction form
    391.03/585.78 = 208.17/x
  3. Step 3: Cross multiply
    391.03x = 585.78 × 208.17
  4. Step 4: Simplify right side
    391.03x = 121,942.21
  5. Step 5: Solve for x
    x = 121,942.21/391.03
  6. Step 6: Final answer
    x = 311.85

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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.