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Finding the Fourth Proportional to 493.71, 681.31 and 272.65

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Solution

The fourth proportional to 493.71, 681.31 and 272.65 is: 376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.71 : 681.31 = 272.65 : x
  2. Step 2: Convert to fraction form
    493.71/681.31 = 272.65/x
  3. Step 3: Cross multiply
    493.71x = 681.31 × 272.65
  4. Step 4: Simplify right side
    493.71x = 185,759.09
  5. Step 5: Solve for x
    x = 185,759.09/493.71
  6. Step 6: Final answer
    x = 376.25

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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.