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Finding the Fourth Proportional to 882.78, 1,324.12 and 233.48

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Solution

The fourth proportional to 882.78, 1,324.12 and 233.48 is: 350.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.78 : 1,324.12 = 233.48 : x
  2. Step 2: Convert to fraction form
    882.78/1,324.12 = 233.48/x
  3. Step 3: Cross multiply
    882.78x = 1,324.12 × 233.48
  4. Step 4: Simplify right side
    882.78x = 309,155.54
  5. Step 5: Solve for x
    x = 309,155.54/882.78
  6. Step 6: Final answer
    x = 350.21

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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.