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Finding the Fourth Proportional to 694.64, 958.56 and 379.89

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Solution

The fourth proportional to 694.64, 958.56 and 379.89 is: 524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.64 : 958.56 = 379.89 : x
  2. Step 2: Convert to fraction form
    694.64/958.56 = 379.89/x
  3. Step 3: Cross multiply
    694.64x = 958.56 × 379.89
  4. Step 4: Simplify right side
    694.64x = 364,147.36
  5. Step 5: Solve for x
    x = 364,147.36/694.64
  6. Step 6: Final answer
    x = 524.23

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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.