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Finding the Fourth Proportional to 415.22, 622.83 and 224.06

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Solution

The fourth proportional to 415.22, 622.83 and 224.06 is: 336.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.22 : 622.83 = 224.06 : x
  2. Step 2: Convert to fraction form
    415.22/622.83 = 224.06/x
  3. Step 3: Cross multiply
    415.22x = 622.83 × 224.06
  4. Step 4: Simplify right side
    415.22x = 139,551.29
  5. Step 5: Solve for x
    x = 139,551.29/415.22
  6. Step 6: Final answer
    x = 336.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.