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Finding the Fourth Proportional to 393.97, 590.95 and 105.41

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Solution

The fourth proportional to 393.97, 590.95 and 105.41 is: 158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.97 : 590.95 = 105.41 : x
  2. Step 2: Convert to fraction form
    393.97/590.95 = 105.41/x
  3. Step 3: Cross multiply
    393.97x = 590.95 × 105.41
  4. Step 4: Simplify right side
    393.97x = 62,289.73
  5. Step 5: Solve for x
    x = 62,289.73/393.97
  6. Step 6: Final answer
    x = 158.11

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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.