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Finding the Fourth Proportional to 393.77, 590.83 and 239.82

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Solution

The fourth proportional to 393.77, 590.83 and 239.82 is: 359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.77 : 590.83 = 239.82 : x
  2. Step 2: Convert to fraction form
    393.77/590.83 = 239.82/x
  3. Step 3: Cross multiply
    393.77x = 590.83 × 239.82
  4. Step 4: Simplify right side
    393.77x = 141,692.85
  5. Step 5: Solve for x
    x = 141,692.85/393.77
  6. Step 6: Final answer
    x = 359.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.