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Finding the Fourth Proportional to 274.37, 409.55 and 266.67

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Solution

The fourth proportional to 274.37, 409.55 and 266.67 is: 398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.37 : 409.55 = 266.67 : x
  2. Step 2: Convert to fraction form
    274.37/409.55 = 266.67/x
  3. Step 3: Cross multiply
    274.37x = 409.55 × 266.67
  4. Step 4: Simplify right side
    274.37x = 109,213.37
  5. Step 5: Solve for x
    x = 109,213.37/274.37
  6. Step 6: Final answer
    x = 398.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.