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Finding the Fourth Proportional to 696.27, 1,043.74 and 233.72

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Solution

The fourth proportional to 696.27, 1,043.74 and 233.72 is: 350.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.27 : 1,043.74 = 233.72 : x
  2. Step 2: Convert to fraction form
    696.27/1,043.74 = 233.72/x
  3. Step 3: Cross multiply
    696.27x = 1,043.74 × 233.72
  4. Step 4: Simplify right side
    696.27x = 243,943.94
  5. Step 5: Solve for x
    x = 243,943.94/696.27
  6. Step 6: Final answer
    x = 350.36

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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.