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Finding the Fourth Proportional to 394.41, 544.26 and 217.37

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Solution

The fourth proportional to 394.41, 544.26 and 217.37 is: 299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.41 : 544.26 = 217.37 : x
  2. Step 2: Convert to fraction form
    394.41/544.26 = 217.37/x
  3. Step 3: Cross multiply
    394.41x = 544.26 × 217.37
  4. Step 4: Simplify right side
    394.41x = 118,303.07
  5. Step 5: Solve for x
    x = 118,303.07/394.41
  6. Step 6: Final answer
    x = 299.95

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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.