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Finding the Fourth Proportional to 391.69, 587.33 and 209.03

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Solution

The fourth proportional to 391.69, 587.33 and 209.03 is: 313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.69 : 587.33 = 209.03 : x
  2. Step 2: Convert to fraction form
    391.69/587.33 = 209.03/x
  3. Step 3: Cross multiply
    391.69x = 587.33 × 209.03
  4. Step 4: Simplify right side
    391.69x = 122,768.54
  5. Step 5: Solve for x
    x = 122,768.54/391.69
  6. Step 6: Final answer
    x = 313.44

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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.