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Finding the Fourth Proportional to 394.67, 591.71 and 134.51

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Solution

The fourth proportional to 394.67, 591.71 and 134.51 is: 201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.67 : 591.71 = 134.51 : x
  2. Step 2: Convert to fraction form
    394.67/591.71 = 134.51/x
  3. Step 3: Cross multiply
    394.67x = 591.71 × 134.51
  4. Step 4: Simplify right side
    394.67x = 79,592.73
  5. Step 5: Solve for x
    x = 79,592.73/394.67
  6. Step 6: Final answer
    x = 201.67

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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.