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Finding the Fourth Proportional to 964.85, 1,447.24 and 234.42

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Solution

The fourth proportional to 964.85, 1,447.24 and 234.42 is: 351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.85 : 1,447.24 = 234.42 : x
  2. Step 2: Convert to fraction form
    964.85/1,447.24 = 234.42/x
  3. Step 3: Cross multiply
    964.85x = 1,447.24 × 234.42
  4. Step 4: Simplify right side
    964.85x = 339,262.00
  5. Step 5: Solve for x
    x = 339,262.00/964.85
  6. Step 6: Final answer
    x = 351.62

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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.