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Finding the Fourth Proportional to 371.70, 513.03 and 224.43

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Solution

The fourth proportional to 371.70, 513.03 and 224.43 is: 309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.70 : 513.03 = 224.43 : x
  2. Step 2: Convert to fraction form
    371.70/513.03 = 224.43/x
  3. Step 3: Cross multiply
    371.70x = 513.03 × 224.43
  4. Step 4: Simplify right side
    371.70x = 115,139.32
  5. Step 5: Solve for x
    x = 115,139.32/371.70
  6. Step 6: Final answer
    x = 309.76

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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.