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Finding the Fourth Proportional to 964.54, 1,446.82 and 234.12

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Solution

The fourth proportional to 964.54, 1,446.82 and 234.12 is: 351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.54 : 1,446.82 = 234.12 : x
  2. Step 2: Convert to fraction form
    964.54/1,446.82 = 234.12/x
  3. Step 3: Cross multiply
    964.54x = 1,446.82 × 234.12
  4. Step 4: Simplify right side
    964.54x = 338,734.34
  5. Step 5: Solve for x
    x = 338,734.34/964.54
  6. Step 6: Final answer
    x = 351.19

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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.