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Finding the Fourth Proportional to 379.24, 523.36 and 224

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Solution

The fourth proportional to 379.24, 523.36 and 224 is: 309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.24 : 523.36 = 224 : x
  2. Step 2: Convert to fraction form
    379.24/523.36 = 224/x
  3. Step 3: Cross multiply
    379.24x = 523.36 × 224
  4. Step 4: Simplify right side
    379.24x = 117,232.64
  5. Step 5: Solve for x
    x = 117,232.64/379.24
  6. Step 6: Final answer
    x = 309.13

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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.