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Finding the Fourth Proportional to 331.62, 457.34 and 233.34

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Solution

The fourth proportional to 331.62, 457.34 and 233.34 is: 321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.62 : 457.34 = 233.34 : x
  2. Step 2: Convert to fraction form
    331.62/457.34 = 233.34/x
  3. Step 3: Cross multiply
    331.62x = 457.34 × 233.34
  4. Step 4: Simplify right side
    331.62x = 106,715.72
  5. Step 5: Solve for x
    x = 106,715.72/331.62
  6. Step 6: Final answer
    x = 321.80

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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.