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Finding the Fourth Proportional to 494.01, 681.73 and 272.96

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Solution

The fourth proportional to 494.01, 681.73 and 272.96 is: 376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.01 : 681.73 = 272.96 : x
  2. Step 2: Convert to fraction form
    494.01/681.73 = 272.96/x
  3. Step 3: Cross multiply
    494.01x = 681.73 × 272.96
  4. Step 4: Simplify right side
    494.01x = 186,083.49
  5. Step 5: Solve for x
    x = 186,083.49/494.01
  6. Step 6: Final answer
    x = 376.68

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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.