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Finding the Fourth Proportional to 379.48, 523.56 and 224.20

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Solution

The fourth proportional to 379.48, 523.56 and 224.20 is: 309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.48 : 523.56 = 224.20 : x
  2. Step 2: Convert to fraction form
    379.48/523.56 = 224.20/x
  3. Step 3: Cross multiply
    379.48x = 523.56 × 224.20
  4. Step 4: Simplify right side
    379.48x = 117,382.15
  5. Step 5: Solve for x
    x = 117,382.15/379.48
  6. Step 6: Final answer
    x = 309.32

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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.