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Finding the Fourth Proportional to 493.05, 680.42 and 272.00

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Solution

The fourth proportional to 493.05, 680.42 and 272.00 is: 375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.05 : 680.42 = 272.00 : x
  2. Step 2: Convert to fraction form
    493.05/680.42 = 272.00/x
  3. Step 3: Cross multiply
    493.05x = 680.42 × 272.00
  4. Step 4: Simplify right side
    493.05x = 185,069.48
  5. Step 5: Solve for x
    x = 185,069.48/493.05
  6. Step 6: Final answer
    x = 375.36

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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.