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Finding the Fourth Proportional to 394.14, 544.15 and 261.41

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Solution

The fourth proportional to 394.14, 544.15 and 261.41 is: 360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.14 : 544.15 = 261.41 : x
  2. Step 2: Convert to fraction form
    394.14/544.15 = 261.41/x
  3. Step 3: Cross multiply
    394.14x = 544.15 × 261.41
  4. Step 4: Simplify right side
    394.14x = 142,243.86
  5. Step 5: Solve for x
    x = 142,243.86/394.14
  6. Step 6: Final answer
    x = 360.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.