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Finding the Fourth Proportional to 495.39, 683.64 and 274.33

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Solution

The fourth proportional to 495.39, 683.64 and 274.33 is: 378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.39 : 683.64 = 274.33 : x
  2. Step 2: Convert to fraction form
    495.39/683.64 = 274.33/x
  3. Step 3: Cross multiply
    495.39x = 683.64 × 274.33
  4. Step 4: Simplify right side
    495.39x = 187,542.96
  5. Step 5: Solve for x
    x = 187,542.96/495.39
  6. Step 6: Final answer
    x = 378.58

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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.