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Finding the Fourth Proportional to 415.22, 623.16 and 220.43

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Solution

The fourth proportional to 415.22, 623.16 and 220.43 is: 330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.22 : 623.16 = 220.43 : x
  2. Step 2: Convert to fraction form
    415.22/623.16 = 220.43/x
  3. Step 3: Cross multiply
    415.22x = 623.16 × 220.43
  4. Step 4: Simplify right side
    415.22x = 137,364.72
  5. Step 5: Solve for x
    x = 137,364.72/415.22
  6. Step 6: Final answer
    x = 330.83

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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.