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Finding the Fourth Proportional to 415.06, 621.03 and 254.03

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Solution

The fourth proportional to 415.06, 621.03 and 254.03 is: 380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.06 : 621.03 = 254.03 : x
  2. Step 2: Convert to fraction form
    415.06/621.03 = 254.03/x
  3. Step 3: Cross multiply
    415.06x = 621.03 × 254.03
  4. Step 4: Simplify right side
    415.06x = 157,757.54
  5. Step 5: Solve for x
    x = 157,757.54/415.06
  6. Step 6: Final answer
    x = 380.08

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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.