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Finding the Fourth Proportional to 494.68, 682.65 and 273.65

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Solution

The fourth proportional to 494.68, 682.65 and 273.65 is: 377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.68 : 682.65 = 273.65 : x
  2. Step 2: Convert to fraction form
    494.68/682.65 = 273.65/x
  3. Step 3: Cross multiply
    494.68x = 682.65 × 273.65
  4. Step 4: Simplify right side
    494.68x = 186,807.17
  5. Step 5: Solve for x
    x = 186,807.17/494.68
  6. Step 6: Final answer
    x = 377.63

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