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Finding the Fourth Proportional to 238.58, 328.91 and 233.41

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Solution

The fourth proportional to 238.58, 328.91 and 233.41 is: 321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.58 : 328.91 = 233.41 : x
  2. Step 2: Convert to fraction form
    238.58/328.91 = 233.41/x
  3. Step 3: Cross multiply
    238.58x = 328.91 × 233.41
  4. Step 4: Simplify right side
    238.58x = 76,769.24
  5. Step 5: Solve for x
    x = 76,769.24/238.58
  6. Step 6: Final answer
    x = 321.78

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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.