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Finding the Fourth Proportional to 394.24, 544.44 and 289.84

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Solution

The fourth proportional to 394.24, 544.44 and 289.84 is: 400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.24 : 544.44 = 289.84 : x
  2. Step 2: Convert to fraction form
    394.24/544.44 = 289.84/x
  3. Step 3: Cross multiply
    394.24x = 544.44 × 289.84
  4. Step 4: Simplify right side
    394.24x = 157,800.49
  5. Step 5: Solve for x
    x = 157,800.49/394.24
  6. Step 6: Final answer
    x = 400.27

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Why These Related Problems?

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