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Finding the Fourth Proportional to 279.91, 385.77 and 233.29

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Solution

The fourth proportional to 279.91, 385.77 and 233.29 is: 321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.91 : 385.77 = 233.29 : x
  2. Step 2: Convert to fraction form
    279.91/385.77 = 233.29/x
  3. Step 3: Cross multiply
    279.91x = 385.77 × 233.29
  4. Step 4: Simplify right side
    279.91x = 89,996.28
  5. Step 5: Solve for x
    x = 89,996.28/279.91
  6. Step 6: Final answer
    x = 321.52

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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.