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Finding the Fourth Proportional to 274.30, 409.01 and 241.92

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Solution

The fourth proportional to 274.30, 409.01 and 241.92 is: 360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.30 : 409.01 = 241.92 : x
  2. Step 2: Convert to fraction form
    274.30/409.01 = 241.92/x
  3. Step 3: Cross multiply
    274.30x = 409.01 × 241.92
  4. Step 4: Simplify right side
    274.30x = 98,946.49
  5. Step 5: Solve for x
    x = 98,946.49/274.30
  6. Step 6: Final answer
    x = 360.73

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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.