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Finding the Fourth Proportional to 694.29, 958.10 and 399.62

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Solution

The fourth proportional to 694.29, 958.10 and 399.62 is: 551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.29 : 958.10 = 399.62 : x
  2. Step 2: Convert to fraction form
    694.29/958.10 = 399.62/x
  3. Step 3: Cross multiply
    694.29x = 958.10 × 399.62
  4. Step 4: Simplify right side
    694.29x = 382,869.13
  5. Step 5: Solve for x
    x = 382,869.13/694.29
  6. Step 6: Final answer
    x = 551.45

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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.