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Finding the Fourth Proportional to 386.76, 581.22 and 232.68

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Solution

The fourth proportional to 386.76, 581.22 and 232.68 is: 349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.76 : 581.22 = 232.68 : x
  2. Step 2: Convert to fraction form
    386.76/581.22 = 232.68/x
  3. Step 3: Cross multiply
    386.76x = 581.22 × 232.68
  4. Step 4: Simplify right side
    386.76x = 135,238.27
  5. Step 5: Solve for x
    x = 135,238.27/386.76
  6. Step 6: Final answer
    x = 349.67

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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.