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Finding the Fourth Proportional to 383.53, 575.49 and 191.16

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Solution

The fourth proportional to 383.53, 575.49 and 191.16 is: 286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.53 : 575.49 = 191.16 : x
  2. Step 2: Convert to fraction form
    383.53/575.49 = 191.16/x
  3. Step 3: Cross multiply
    383.53x = 575.49 × 191.16
  4. Step 4: Simplify right side
    383.53x = 110,010.67
  5. Step 5: Solve for x
    x = 110,010.67/383.53
  6. Step 6: Final answer
    x = 286.84

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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.