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Finding the Fourth Proportional to 495.25, 683.44 and 274.25

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Solution

The fourth proportional to 495.25, 683.44 and 274.25 is: 378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.25 : 683.44 = 274.25 : x
  2. Step 2: Convert to fraction form
    495.25/683.44 = 274.25/x
  3. Step 3: Cross multiply
    495.25x = 683.44 × 274.25
  4. Step 4: Simplify right side
    495.25x = 187,434.44
  5. Step 5: Solve for x
    x = 187,434.44/495.25
  6. Step 6: Final answer
    x = 378.47

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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.