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Finding the Fourth Proportional to 493.68, 681.27 and 272.63

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Solution

The fourth proportional to 493.68, 681.27 and 272.63 is: 376.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.68 : 681.27 = 272.63 : x
  2. Step 2: Convert to fraction form
    493.68/681.27 = 272.63/x
  3. Step 3: Cross multiply
    493.68x = 681.27 × 272.63
  4. Step 4: Simplify right side
    493.68x = 185,731.23
  5. Step 5: Solve for x
    x = 185,731.23/493.68
  6. Step 6: Final answer
    x = 376.22

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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.