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Finding the Fourth Proportional to 379.46, 523.64 and 213.68

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Solution

The fourth proportional to 379.46, 523.64 and 213.68 is: 294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.46 : 523.64 = 213.68 : x
  2. Step 2: Convert to fraction form
    379.46/523.64 = 213.68/x
  3. Step 3: Cross multiply
    379.46x = 523.64 × 213.68
  4. Step 4: Simplify right side
    379.46x = 111,887.71
  5. Step 5: Solve for x
    x = 111,887.71/379.46
  6. Step 6: Final answer
    x = 294.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.