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Finding the Fourth Proportional to 394.27, 544.12 and 354.17

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Solution

The fourth proportional to 394.27, 544.12 and 354.17 is: 488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.27 : 544.12 = 354.17 : x
  2. Step 2: Convert to fraction form
    394.27/544.12 = 354.17/x
  3. Step 3: Cross multiply
    394.27x = 544.12 × 354.17
  4. Step 4: Simplify right side
    394.27x = 192,711.46
  5. Step 5: Solve for x
    x = 192,711.46/394.27
  6. Step 6: Final answer
    x = 488.78

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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.