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Finding the Fourth Proportional to 694.26, 957.96 and 432.09

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Solution

The fourth proportional to 694.26, 957.96 and 432.09 is: 596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.26 : 957.96 = 432.09 : x
  2. Step 2: Convert to fraction form
    694.26/957.96 = 432.09/x
  3. Step 3: Cross multiply
    694.26x = 957.96 × 432.09
  4. Step 4: Simplify right side
    694.26x = 413,924.94
  5. Step 5: Solve for x
    x = 413,924.94/694.26
  6. Step 6: Final answer
    x = 596.21

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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.