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Finding the Fourth Proportional to 394.14, 547.19 and 382.26

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Solution

The fourth proportional to 394.14, 547.19 and 382.26 is: 530.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.14 : 547.19 = 382.26 : x
  2. Step 2: Convert to fraction form
    394.14/547.19 = 382.26/x
  3. Step 3: Cross multiply
    394.14x = 547.19 × 382.26
  4. Step 4: Simplify right side
    394.14x = 209,166.94
  5. Step 5: Solve for x
    x = 209,166.94/394.14
  6. Step 6: Final answer
    x = 530.69

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.