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Finding the Fourth Proportional to 379.47, 523.49 and 224.13

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Solution

The fourth proportional to 379.47, 523.49 and 224.13 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.47 : 523.49 = 224.13 : x
  2. Step 2: Convert to fraction form
    379.47/523.49 = 224.13/x
  3. Step 3: Cross multiply
    379.47x = 523.49 × 224.13
  4. Step 4: Simplify right side
    379.47x = 117,328.69
  5. Step 5: Solve for x
    x = 117,328.69/379.47
  6. Step 6: Final answer
    x = 309.19

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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.