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Finding the Fourth Proportional to 696.14, 1,044.28 and 233.96

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Solution

The fourth proportional to 696.14, 1,044.28 and 233.96 is: 350.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.14 : 1,044.28 = 233.96 : x
  2. Step 2: Convert to fraction form
    696.14/1,044.28 = 233.96/x
  3. Step 3: Cross multiply
    696.14x = 1,044.28 × 233.96
  4. Step 4: Simplify right side
    696.14x = 244,322.31
  5. Step 5: Solve for x
    x = 244,322.31/696.14
  6. Step 6: Final answer
    x = 350.97

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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.