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Finding the Fourth Proportional to 415.56, 622.26 and 388.56

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Solution

The fourth proportional to 415.56, 622.26 and 388.56 is: 581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.56 : 622.26 = 388.56 : x
  2. Step 2: Convert to fraction form
    415.56/622.26 = 388.56/x
  3. Step 3: Cross multiply
    415.56x = 622.26 × 388.56
  4. Step 4: Simplify right side
    415.56x = 241,785.35
  5. Step 5: Solve for x
    x = 241,785.35/415.56
  6. Step 6: Final answer
    x = 581.83

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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.