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Finding the Fourth Proportional to 333.25, 460 and 286.43

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Solution

The fourth proportional to 333.25, 460 and 286.43 is: 395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.25 : 460 = 286.43 : x
  2. Step 2: Convert to fraction form
    333.25/460 = 286.43/x
  3. Step 3: Cross multiply
    333.25x = 460 × 286.43
  4. Step 4: Simplify right side
    333.25x = 131,757.80
  5. Step 5: Solve for x
    x = 131,757.80/333.25
  6. Step 6: Final answer
    x = 395.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.