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Finding the Fourth Proportional to 386.83, 580.13 and 191.76

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Solution

The fourth proportional to 386.83, 580.13 and 191.76 is: 287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.83 : 580.13 = 191.76 : x
  2. Step 2: Convert to fraction form
    386.83/580.13 = 191.76/x
  3. Step 3: Cross multiply
    386.83x = 580.13 × 191.76
  4. Step 4: Simplify right side
    386.83x = 111,245.73
  5. Step 5: Solve for x
    x = 111,245.73/386.83
  6. Step 6: Final answer
    x = 287.58

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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.