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Finding the Fourth Proportional to 289.76, 399.20 and 274.37

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Solution

The fourth proportional to 289.76, 399.20 and 274.37 is: 377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.76 : 399.20 = 274.37 : x
  2. Step 2: Convert to fraction form
    289.76/399.20 = 274.37/x
  3. Step 3: Cross multiply
    289.76x = 399.20 × 274.37
  4. Step 4: Simplify right side
    289.76x = 109,525.14
  5. Step 5: Solve for x
    x = 109,525.14/289.76
  6. Step 6: Final answer
    x = 377.99

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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.