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Finding the Fourth Proportional to 288.91, 396.38 and 275.14

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Solution

The fourth proportional to 288.91, 396.38 and 275.14 is: 377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.91 : 396.38 = 275.14 : x
  2. Step 2: Convert to fraction form
    288.91/396.38 = 275.14/x
  3. Step 3: Cross multiply
    288.91x = 396.38 × 275.14
  4. Step 4: Simplify right side
    288.91x = 109,059.99
  5. Step 5: Solve for x
    x = 109,059.99/288.91
  6. Step 6: Final answer
    x = 377.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.