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Finding the Fourth Proportional to 493.47, 680.95 and 272.43

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Solution

The fourth proportional to 493.47, 680.95 and 272.43 is: 375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.47 : 680.95 = 272.43 : x
  2. Step 2: Convert to fraction form
    493.47/680.95 = 272.43/x
  3. Step 3: Cross multiply
    493.47x = 680.95 × 272.43
  4. Step 4: Simplify right side
    493.47x = 185,511.21
  5. Step 5: Solve for x
    x = 185,511.21/493.47
  6. Step 6: Final answer
    x = 375.93

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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.