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Finding the Fourth Proportional to 349.78, 481.93 and 233.14

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Solution

The fourth proportional to 349.78, 481.93 and 233.14 is: 321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.78 : 481.93 = 233.14 : x
  2. Step 2: Convert to fraction form
    349.78/481.93 = 233.14/x
  3. Step 3: Cross multiply
    349.78x = 481.93 × 233.14
  4. Step 4: Simplify right side
    349.78x = 112,357.16
  5. Step 5: Solve for x
    x = 112,357.16/349.78
  6. Step 6: Final answer
    x = 321.22

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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.