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Finding the Fourth Proportional to 696.56, 1,044.84 and 234.44

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Solution

The fourth proportional to 696.56, 1,044.84 and 234.44 is: 351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.56 : 1,044.84 = 234.44 : x
  2. Step 2: Convert to fraction form
    696.56/1,044.84 = 234.44/x
  3. Step 3: Cross multiply
    696.56x = 1,044.84 × 234.44
  4. Step 4: Simplify right side
    696.56x = 244,952.29
  5. Step 5: Solve for x
    x = 244,952.29/696.56
  6. Step 6: Final answer
    x = 351.66

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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.