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Finding the Fourth Proportional to 858.33, 1,286.19 and 337.80

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Solution

The fourth proportional to 858.33, 1,286.19 and 337.80 is: 506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.33 : 1,286.19 = 337.80 : x
  2. Step 2: Convert to fraction form
    858.33/1,286.19 = 337.80/x
  3. Step 3: Cross multiply
    858.33x = 1,286.19 × 337.80
  4. Step 4: Simplify right side
    858.33x = 434,474.98
  5. Step 5: Solve for x
    x = 434,474.98/858.33
  6. Step 6: Final answer
    x = 506.19

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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.