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Finding the Fourth Proportional to 371.46, 512.46 and 224.06

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Solution

The fourth proportional to 371.46, 512.46 and 224.06 is: 309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.46 : 512.46 = 224.06 : x
  2. Step 2: Convert to fraction form
    371.46/512.46 = 224.06/x
  3. Step 3: Cross multiply
    371.46x = 512.46 × 224.06
  4. Step 4: Simplify right side
    371.46x = 114,821.79
  5. Step 5: Solve for x
    x = 114,821.79/371.46
  6. Step 6: Final answer
    x = 309.11

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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.