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Finding the Fourth Proportional to 331.59, 496.07 and 286.44

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Solution

The fourth proportional to 331.59, 496.07 and 286.44 is: 428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.59 : 496.07 = 286.44 : x
  2. Step 2: Convert to fraction form
    331.59/496.07 = 286.44/x
  3. Step 3: Cross multiply
    331.59x = 496.07 × 286.44
  4. Step 4: Simplify right side
    331.59x = 142,094.29
  5. Step 5: Solve for x
    x = 142,094.29/331.59
  6. Step 6: Final answer
    x = 428.52

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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.