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Finding the Fourth Proportional to 694.21, 958.02 and 395.42

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Solution

The fourth proportional to 694.21, 958.02 and 395.42 is: 545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.21 : 958.02 = 395.42 : x
  2. Step 2: Convert to fraction form
    694.21/958.02 = 395.42/x
  3. Step 3: Cross multiply
    694.21x = 958.02 × 395.42
  4. Step 4: Simplify right side
    694.21x = 378,815.48
  5. Step 5: Solve for x
    x = 378,815.48/694.21
  6. Step 6: Final answer
    x = 545.68

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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.