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Finding the Fourth Proportional to 394.28, 544.25 and 296.32

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Solution

The fourth proportional to 394.28, 544.25 and 296.32 is: 409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.28 : 544.25 = 296.32 : x
  2. Step 2: Convert to fraction form
    394.28/544.25 = 296.32/x
  3. Step 3: Cross multiply
    394.28x = 544.25 × 296.32
  4. Step 4: Simplify right side
    394.28x = 161,272.16
  5. Step 5: Solve for x
    x = 161,272.16/394.28
  6. Step 6: Final answer
    x = 409.03

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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.