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Finding the Fourth Proportional to 494.42, 682.29 and 273.36

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Solution

The fourth proportional to 494.42, 682.29 and 273.36 is: 377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.42 : 682.29 = 273.36 : x
  2. Step 2: Convert to fraction form
    494.42/682.29 = 273.36/x
  3. Step 3: Cross multiply
    494.42x = 682.29 × 273.36
  4. Step 4: Simplify right side
    494.42x = 186,510.79
  5. Step 5: Solve for x
    x = 186,510.79/494.42
  6. Step 6: Final answer
    x = 377.24

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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.