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Finding the Fourth Proportional to 386.94, 580.47 and 191.95

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Solution

The fourth proportional to 386.94, 580.47 and 191.95 is: 287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.94 : 580.47 = 191.95 : x
  2. Step 2: Convert to fraction form
    386.94/580.47 = 191.95/x
  3. Step 3: Cross multiply
    386.94x = 580.47 × 191.95
  4. Step 4: Simplify right side
    386.94x = 111,421.22
  5. Step 5: Solve for x
    x = 111,421.22/386.94
  6. Step 6: Final answer
    x = 287.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.