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Finding the Fourth Proportional to 694.41, 958.41 and 399.78

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Solution

The fourth proportional to 694.41, 958.41 and 399.78 is: 551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.41 : 958.41 = 399.78 : x
  2. Step 2: Convert to fraction form
    694.41/958.41 = 399.78/x
  3. Step 3: Cross multiply
    694.41x = 958.41 × 399.78
  4. Step 4: Simplify right side
    694.41x = 383,153.15
  5. Step 5: Solve for x
    x = 383,153.15/694.41
  6. Step 6: Final answer
    x = 551.77

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