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Finding the Fourth Proportional to 383.35, 574.67 and 139.82

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Solution

The fourth proportional to 383.35, 574.67 and 139.82 is: 209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.35 : 574.67 = 139.82 : x
  2. Step 2: Convert to fraction form
    383.35/574.67 = 139.82/x
  3. Step 3: Cross multiply
    383.35x = 574.67 × 139.82
  4. Step 4: Simplify right side
    383.35x = 80,350.36
  5. Step 5: Solve for x
    x = 80,350.36/383.35
  6. Step 6: Final answer
    x = 209.60

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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.