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Finding the Fourth Proportional to 697.05, 1,044.15 and 330.73

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Solution

The fourth proportional to 697.05, 1,044.15 and 330.73 is: 495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.05 : 1,044.15 = 330.73 : x
  2. Step 2: Convert to fraction form
    697.05/1,044.15 = 330.73/x
  3. Step 3: Cross multiply
    697.05x = 1,044.15 × 330.73
  4. Step 4: Simplify right side
    697.05x = 345,331.73
  5. Step 5: Solve for x
    x = 345,331.73/697.05
  6. Step 6: Final answer
    x = 495.42

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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.