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Finding the Fourth Proportional to 415.38, 622.90 and 155.33

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Solution

The fourth proportional to 415.38, 622.90 and 155.33 is: 232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.38 : 622.90 = 155.33 : x
  2. Step 2: Convert to fraction form
    415.38/622.90 = 155.33/x
  3. Step 3: Cross multiply
    415.38x = 622.90 × 155.33
  4. Step 4: Simplify right side
    415.38x = 96,755.06
  5. Step 5: Solve for x
    x = 96,755.06/415.38
  6. Step 6: Final answer
    x = 232.93

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