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Finding the Fourth Proportional to 694.24, 957.36 and 461.44

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Solution

The fourth proportional to 694.24, 957.36 and 461.44 is: 636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.24 : 957.36 = 461.44 : x
  2. Step 2: Convert to fraction form
    694.24/957.36 = 461.44/x
  3. Step 3: Cross multiply
    694.24x = 957.36 × 461.44
  4. Step 4: Simplify right side
    694.24x = 441,764.20
  5. Step 5: Solve for x
    x = 441,764.20/694.24
  6. Step 6: Final answer
    x = 636.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.