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Finding the Fourth Proportional to 495.06, 683.16 and 273.99

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Solution

The fourth proportional to 495.06, 683.16 and 273.99 is: 378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.06 : 683.16 = 273.99 : x
  2. Step 2: Convert to fraction form
    495.06/683.16 = 273.99/x
  3. Step 3: Cross multiply
    495.06x = 683.16 × 273.99
  4. Step 4: Simplify right side
    495.06x = 187,179.01
  5. Step 5: Solve for x
    x = 187,179.01/495.06
  6. Step 6: Final answer
    x = 378.09

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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.