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Finding the Fourth Proportional to 394.25, 544.32 and 245.04

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Solution

The fourth proportional to 394.25, 544.32 and 245.04 is: 338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.25 : 544.32 = 245.04 : x
  2. Step 2: Convert to fraction form
    394.25/544.32 = 245.04/x
  3. Step 3: Cross multiply
    394.25x = 544.32 × 245.04
  4. Step 4: Simplify right side
    394.25x = 133,378.13
  5. Step 5: Solve for x
    x = 133,378.13/394.25
  6. Step 6: Final answer
    x = 338.31

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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.