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Finding the Fourth Proportional to 490.16, 734.84 and 246.56

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Solution

The fourth proportional to 490.16, 734.84 and 246.56 is: 369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.16 : 734.84 = 246.56 : x
  2. Step 2: Convert to fraction form
    490.16/734.84 = 246.56/x
  3. Step 3: Cross multiply
    490.16x = 734.84 × 246.56
  4. Step 4: Simplify right side
    490.16x = 181,182.15
  5. Step 5: Solve for x
    x = 181,182.15/490.16
  6. Step 6: Final answer
    x = 369.64

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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.