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Finding the Fourth Proportional to 494.06, 681.85 and 273.06

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Solution

The fourth proportional to 494.06, 681.85 and 273.06 is: 376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.06 : 681.85 = 273.06 : x
  2. Step 2: Convert to fraction form
    494.06/681.85 = 273.06/x
  3. Step 3: Cross multiply
    494.06x = 681.85 × 273.06
  4. Step 4: Simplify right side
    494.06x = 186,185.96
  5. Step 5: Solve for x
    x = 186,185.96/494.06
  6. Step 6: Final answer
    x = 376.85

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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.