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Finding the Fourth Proportional to 394.69, 591.97 and 106.06

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Solution

The fourth proportional to 394.69, 591.97 and 106.06 is: 159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.69 : 591.97 = 106.06 : x
  2. Step 2: Convert to fraction form
    394.69/591.97 = 106.06/x
  3. Step 3: Cross multiply
    394.69x = 591.97 × 106.06
  4. Step 4: Simplify right side
    394.69x = 62,785.69
  5. Step 5: Solve for x
    x = 62,785.69/394.69
  6. Step 6: Final answer
    x = 159.07

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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.