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Finding the Fourth Proportional to 289.53, 399.83 and 274.19

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Solution

The fourth proportional to 289.53, 399.83 and 274.19 is: 378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.53 : 399.83 = 274.19 : x
  2. Step 2: Convert to fraction form
    289.53/399.83 = 274.19/x
  3. Step 3: Cross multiply
    289.53x = 399.83 × 274.19
  4. Step 4: Simplify right side
    289.53x = 109,626.02
  5. Step 5: Solve for x
    x = 109,626.02/289.53
  6. Step 6: Final answer
    x = 378.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.