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Finding the Fourth Proportional to 274.46, 409.91 and 238.01

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Solution

The fourth proportional to 274.46, 409.91 and 238.01 is: 355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.46 : 409.91 = 238.01 : x
  2. Step 2: Convert to fraction form
    274.46/409.91 = 238.01/x
  3. Step 3: Cross multiply
    274.46x = 409.91 × 238.01
  4. Step 4: Simplify right side
    274.46x = 97,559.44
  5. Step 5: Solve for x
    x = 97,559.44/274.46
  6. Step 6: Final answer
    x = 355.47

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Why These Related Problems?

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