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Finding the Fourth Proportional to 278.44, 415.25 and 262.12

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Solution

The fourth proportional to 278.44, 415.25 and 262.12 is: 390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.44 : 415.25 = 262.12 : x
  2. Step 2: Convert to fraction form
    278.44/415.25 = 262.12/x
  3. Step 3: Cross multiply
    278.44x = 415.25 × 262.12
  4. Step 4: Simplify right side
    278.44x = 108,845.33
  5. Step 5: Solve for x
    x = 108,845.33/278.44
  6. Step 6: Final answer
    x = 390.91

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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.