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Finding the Fourth Proportional to 379.24, 523.60 and 239.40

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Solution

The fourth proportional to 379.24, 523.60 and 239.40 is: 330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.24 : 523.60 = 239.40 : x
  2. Step 2: Convert to fraction form
    379.24/523.60 = 239.40/x
  3. Step 3: Cross multiply
    379.24x = 523.60 × 239.40
  4. Step 4: Simplify right side
    379.24x = 125,349.24
  5. Step 5: Solve for x
    x = 125,349.24/379.24
  6. Step 6: Final answer
    x = 330.53

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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.