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Finding the Fourth Proportional to 694.38, 1,041.86 and 329.42

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Solution

The fourth proportional to 694.38, 1,041.86 and 329.42 is: 494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.38 : 1,041.86 = 329.42 : x
  2. Step 2: Convert to fraction form
    694.38/1,041.86 = 329.42/x
  3. Step 3: Cross multiply
    694.38x = 1,041.86 × 329.42
  4. Step 4: Simplify right side
    694.38x = 343,209.52
  5. Step 5: Solve for x
    x = 343,209.52/694.38
  6. Step 6: Final answer
    x = 494.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.