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Finding the Fourth Proportional to 274.07, 409.25 and 225.41

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Solution

The fourth proportional to 274.07, 409.25 and 225.41 is: 336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.07 : 409.25 = 225.41 : x
  2. Step 2: Convert to fraction form
    274.07/409.25 = 225.41/x
  3. Step 3: Cross multiply
    274.07x = 409.25 × 225.41
  4. Step 4: Simplify right side
    274.07x = 92,245.87
  5. Step 5: Solve for x
    x = 92,245.87/274.07
  6. Step 6: Final answer
    x = 336.58

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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.