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Finding the Fourth Proportional to 490.14, 734.58 and 270.54

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Solution

The fourth proportional to 490.14, 734.58 and 270.54 is: 405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.14 : 734.58 = 270.54 : x
  2. Step 2: Convert to fraction form
    490.14/734.58 = 270.54/x
  3. Step 3: Cross multiply
    490.14x = 734.58 × 270.54
  4. Step 4: Simplify right side
    490.14x = 198,733.27
  5. Step 5: Solve for x
    x = 198,733.27/490.14
  6. Step 6: Final answer
    x = 405.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.