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Finding the Fourth Proportional to 490.95, 677.82 and 359.73

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Solution

The fourth proportional to 490.95, 677.82 and 359.73 is: 496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.95 : 677.82 = 359.73 : x
  2. Step 2: Convert to fraction form
    490.95/677.82 = 359.73/x
  3. Step 3: Cross multiply
    490.95x = 677.82 × 359.73
  4. Step 4: Simplify right side
    490.95x = 243,832.19
  5. Step 5: Solve for x
    x = 243,832.19/490.95
  6. Step 6: Final answer
    x = 496.65

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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.