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Finding the Fourth Proportional to 391.35, 587.19 and 208.70

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Solution

The fourth proportional to 391.35, 587.19 and 208.70 is: 313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.35 : 587.19 = 208.70 : x
  2. Step 2: Convert to fraction form
    391.35/587.19 = 208.70/x
  3. Step 3: Cross multiply
    391.35x = 587.19 × 208.70
  4. Step 4: Simplify right side
    391.35x = 122,543.62
  5. Step 5: Solve for x
    x = 122,543.62/391.35
  6. Step 6: Final answer
    x = 313.13

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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.