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Finding the Fourth Proportional to 495.11, 683.24 and 274.06

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Solution

The fourth proportional to 495.11, 683.24 and 274.06 is: 378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.11 : 683.24 = 274.06 : x
  2. Step 2: Convert to fraction form
    495.11/683.24 = 274.06/x
  3. Step 3: Cross multiply
    495.11x = 683.24 × 274.06
  4. Step 4: Simplify right side
    495.11x = 187,243.97
  5. Step 5: Solve for x
    x = 187,243.97/495.11
  6. Step 6: Final answer
    x = 378.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.