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Finding the Fourth Proportional to 696.17, 1,044.05 and 233.82

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Solution

The fourth proportional to 696.17, 1,044.05 and 233.82 is: 350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.17 : 1,044.05 = 233.82 : x
  2. Step 2: Convert to fraction form
    696.17/1,044.05 = 233.82/x
  3. Step 3: Cross multiply
    696.17x = 1,044.05 × 233.82
  4. Step 4: Simplify right side
    696.17x = 244,118.60
  5. Step 5: Solve for x
    x = 244,118.60/696.17
  6. Step 6: Final answer
    x = 350.66

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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.