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Finding the Fourth Proportional to 697.01, 1,044.77 and 331.02

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Solution

The fourth proportional to 697.01, 1,044.77 and 331.02 is: 496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.01 : 1,044.77 = 331.02 : x
  2. Step 2: Convert to fraction form
    697.01/1,044.77 = 331.02/x
  3. Step 3: Cross multiply
    697.01x = 1,044.77 × 331.02
  4. Step 4: Simplify right side
    697.01x = 345,838.11
  5. Step 5: Solve for x
    x = 345,838.11/697.01
  6. Step 6: Final answer
    x = 496.18

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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.