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Finding the Fourth Proportional to 270.56, 403.08 and 254

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Solution

The fourth proportional to 270.56, 403.08 and 254 is: 378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.56 : 403.08 = 254 : x
  2. Step 2: Convert to fraction form
    270.56/403.08 = 254/x
  3. Step 3: Cross multiply
    270.56x = 403.08 × 254
  4. Step 4: Simplify right side
    270.56x = 102,382.32
  5. Step 5: Solve for x
    x = 102,382.32/270.56
  6. Step 6: Final answer
    x = 378.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.