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Finding the Fourth Proportional to 694.82, 958.85 and 380.11

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Solution

The fourth proportional to 694.82, 958.85 and 380.11 is: 524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.82 : 958.85 = 380.11 : x
  2. Step 2: Convert to fraction form
    694.82/958.85 = 380.11/x
  3. Step 3: Cross multiply
    694.82x = 958.85 × 380.11
  4. Step 4: Simplify right side
    694.82x = 364,473.02
  5. Step 5: Solve for x
    x = 364,473.02/694.82
  6. Step 6: Final answer
    x = 524.56

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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.