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Finding the Fourth Proportional to 394.64, 544.68 and 289.88

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Solution

The fourth proportional to 394.64, 544.68 and 289.88 is: 400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.64 : 544.68 = 289.88 : x
  2. Step 2: Convert to fraction form
    394.64/544.68 = 289.88/x
  3. Step 3: Cross multiply
    394.64x = 544.68 × 289.88
  4. Step 4: Simplify right side
    394.64x = 157,891.84
  5. Step 5: Solve for x
    x = 157,891.84/394.64
  6. Step 6: Final answer
    x = 400.09

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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.