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Finding the Fourth Proportional to 274.65, 409.98 and 254.63

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Solution

The fourth proportional to 274.65, 409.98 and 254.63 is: 380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.65 : 409.98 = 254.63 : x
  2. Step 2: Convert to fraction form
    274.65/409.98 = 254.63/x
  3. Step 3: Cross multiply
    274.65x = 409.98 × 254.63
  4. Step 4: Simplify right side
    274.65x = 104,391.16
  5. Step 5: Solve for x
    x = 104,391.16/274.65
  6. Step 6: Final answer
    x = 380.09

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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.