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Finding the Fourth Proportional to 883.05, 1,324.58 and 233.84

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Solution

The fourth proportional to 883.05, 1,324.58 and 233.84 is: 350.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.05 : 1,324.58 = 233.84 : x
  2. Step 2: Convert to fraction form
    883.05/1,324.58 = 233.84/x
  3. Step 3: Cross multiply
    883.05x = 1,324.58 × 233.84
  4. Step 4: Simplify right side
    883.05x = 309,739.79
  5. Step 5: Solve for x
    x = 309,739.79/883.05
  6. Step 6: Final answer
    x = 350.76

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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.