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Finding the Fourth Proportional to 394.30, 594.41 and 367.87

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Solution

The fourth proportional to 394.30, 594.41 and 367.87 is: 554.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.30 : 594.41 = 367.87 : x
  2. Step 2: Convert to fraction form
    394.30/594.41 = 367.87/x
  3. Step 3: Cross multiply
    394.30x = 594.41 × 367.87
  4. Step 4: Simplify right side
    394.30x = 218,663.77
  5. Step 5: Solve for x
    x = 218,663.77/394.30
  6. Step 6: Final answer
    x = 554.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.