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Finding the Fourth Proportional to 331.40, 496.83 and 233.93

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Solution

The fourth proportional to 331.40, 496.83 and 233.93 is: 350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.40 : 496.83 = 233.93 : x
  2. Step 2: Convert to fraction form
    331.40/496.83 = 233.93/x
  3. Step 3: Cross multiply
    331.40x = 496.83 × 233.93
  4. Step 4: Simplify right side
    331.40x = 116,223.44
  5. Step 5: Solve for x
    x = 116,223.44/331.40
  6. Step 6: Final answer
    x = 350.70

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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.