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Finding the Fourth Proportional to 394.54, 591.76 and 105.98

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Solution

The fourth proportional to 394.54, 591.76 and 105.98 is: 158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.54 : 591.76 = 105.98 : x
  2. Step 2: Convert to fraction form
    394.54/591.76 = 105.98/x
  3. Step 3: Cross multiply
    394.54x = 591.76 × 105.98
  4. Step 4: Simplify right side
    394.54x = 62,711.30
  5. Step 5: Solve for x
    x = 62,711.30/394.54
  6. Step 6: Final answer
    x = 158.95

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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.