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Finding the Fourth Proportional to 494.81, 682.81 and 273.77

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Solution

The fourth proportional to 494.81, 682.81 and 273.77 is: 377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.81 : 682.81 = 273.77 : x
  2. Step 2: Convert to fraction form
    494.81/682.81 = 273.77/x
  3. Step 3: Cross multiply
    494.81x = 682.81 × 273.77
  4. Step 4: Simplify right side
    494.81x = 186,931.52
  5. Step 5: Solve for x
    x = 186,931.52/494.81
  6. Step 6: Final answer
    x = 377.78

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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.