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Finding the Fourth Proportional to 379.50, 523.74 and 224.28

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Solution

The fourth proportional to 379.50, 523.74 and 224.28 is: 309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.50 : 523.74 = 224.28 : x
  2. Step 2: Convert to fraction form
    379.50/523.74 = 224.28/x
  3. Step 3: Cross multiply
    379.50x = 523.74 × 224.28
  4. Step 4: Simplify right side
    379.50x = 117,464.41
  5. Step 5: Solve for x
    x = 117,464.41/379.50
  6. Step 6: Final answer
    x = 309.52

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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.