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Finding the Fourth Proportional to 383.94, 575.89 and 140.44

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Solution

The fourth proportional to 383.94, 575.89 and 140.44 is: 210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.94 : 575.89 = 140.44 : x
  2. Step 2: Convert to fraction form
    383.94/575.89 = 140.44/x
  3. Step 3: Cross multiply
    383.94x = 575.89 × 140.44
  4. Step 4: Simplify right side
    383.94x = 80,877.99
  5. Step 5: Solve for x
    x = 80,877.99/383.94
  6. Step 6: Final answer
    x = 210.65

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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.