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Finding the Fourth Proportional to 379.64, 523.94 and 248.92

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Solution

The fourth proportional to 379.64, 523.94 and 248.92 is: 343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.64 : 523.94 = 248.92 : x
  2. Step 2: Convert to fraction form
    379.64/523.94 = 248.92/x
  3. Step 3: Cross multiply
    379.64x = 523.94 × 248.92
  4. Step 4: Simplify right side
    379.64x = 130,419.14
  5. Step 5: Solve for x
    x = 130,419.14/379.64
  6. Step 6: Final answer
    x = 343.53

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Why These Related Problems?

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