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Finding the Fourth Proportional to 697.01, 1,044.73 and 234.68

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Solution

The fourth proportional to 697.01, 1,044.73 and 234.68 is: 351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.01 : 1,044.73 = 234.68 : x
  2. Step 2: Convert to fraction form
    697.01/1,044.73 = 234.68/x
  3. Step 3: Cross multiply
    697.01x = 1,044.73 × 234.68
  4. Step 4: Simplify right side
    697.01x = 245,177.24
  5. Step 5: Solve for x
    x = 245,177.24/697.01
  6. Step 6: Final answer
    x = 351.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.