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Finding the Fourth Proportional to 379.25, 523.50 and 224

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Solution

The fourth proportional to 379.25, 523.50 and 224 is: 309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.25 : 523.50 = 224 : x
  2. Step 2: Convert to fraction form
    379.25/523.50 = 224/x
  3. Step 3: Cross multiply
    379.25x = 523.50 × 224
  4. Step 4: Simplify right side
    379.25x = 117,264
  5. Step 5: Solve for x
    x = 117,264/379.25
  6. Step 6: Final answer
    x = 309.20

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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.