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Finding the Fourth Proportional to 883.12, 1,324.60 and 233.83

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Solution

The fourth proportional to 883.12, 1,324.60 and 233.83 is: 350.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.12 : 1,324.60 = 233.83 : x
  2. Step 2: Convert to fraction form
    883.12/1,324.60 = 233.83/x
  3. Step 3: Cross multiply
    883.12x = 1,324.60 × 233.83
  4. Step 4: Simplify right side
    883.12x = 309,731.22
  5. Step 5: Solve for x
    x = 309,731.22/883.12
  6. Step 6: Final answer
    x = 350.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.