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Finding the Fourth Proportional to 415.38, 622.35 and 250.53

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Solution

The fourth proportional to 415.38, 622.35 and 250.53 is: 375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.38 : 622.35 = 250.53 : x
  2. Step 2: Convert to fraction form
    415.38/622.35 = 250.53/x
  3. Step 3: Cross multiply
    415.38x = 622.35 × 250.53
  4. Step 4: Simplify right side
    415.38x = 155,917.35
  5. Step 5: Solve for x
    x = 155,917.35/415.38
  6. Step 6: Final answer
    x = 375.36

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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.