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Finding the Fourth Proportional to 694.11, 957.69 and 431.94

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Solution

The fourth proportional to 694.11, 957.69 and 431.94 is: 595.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.11 : 957.69 = 431.94 : x
  2. Step 2: Convert to fraction form
    694.11/957.69 = 431.94/x
  3. Step 3: Cross multiply
    694.11x = 957.69 × 431.94
  4. Step 4: Simplify right side
    694.11x = 413,664.62
  5. Step 5: Solve for x
    x = 413,664.62/694.11
  6. Step 6: Final answer
    x = 595.96

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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.