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Finding the Fourth Proportional to 761.49, 1,142.31 and 213.68

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Solution

The fourth proportional to 761.49, 1,142.31 and 213.68 is: 320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.49 : 1,142.31 = 213.68 : x
  2. Step 2: Convert to fraction form
    761.49/1,142.31 = 213.68/x
  3. Step 3: Cross multiply
    761.49x = 1,142.31 × 213.68
  4. Step 4: Simplify right side
    761.49x = 244,087.73
  5. Step 5: Solve for x
    x = 244,087.73/761.49
  6. Step 6: Final answer
    x = 320.54

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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.