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Finding the Fourth Proportional to 394.67, 591.19 and 286.13

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Solution

The fourth proportional to 394.67, 591.19 and 286.13 is: 428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.67 : 591.19 = 286.13 : x
  2. Step 2: Convert to fraction form
    394.67/591.19 = 286.13/x
  3. Step 3: Cross multiply
    394.67x = 591.19 × 286.13
  4. Step 4: Simplify right side
    394.67x = 169,157.19
  5. Step 5: Solve for x
    x = 169,157.19/394.67
  6. Step 6: Final answer
    x = 428.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.