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Finding the Fourth Proportional to 697, 1,044.57 and 331.43

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Solution

The fourth proportional to 697, 1,044.57 and 331.43 is: 496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    697 : 1,044.57 = 331.43 : x
  2. Step 2: Convert to fraction form
    697/1,044.57 = 331.43/x
  3. Step 3: Cross multiply
    697x = 1,044.57 × 331.43
  4. Step 4: Simplify right side
    697x = 346,201.84
  5. Step 5: Solve for x
    x = 346,201.84/697
  6. Step 6: Final answer
    x = 496.70

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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.