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Finding the Fourth Proportional to 490.93, 677.51 and 294.61

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Solution

The fourth proportional to 490.93, 677.51 and 294.61 is: 406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.93 : 677.51 = 294.61 : x
  2. Step 2: Convert to fraction form
    490.93/677.51 = 294.61/x
  3. Step 3: Cross multiply
    490.93x = 677.51 × 294.61
  4. Step 4: Simplify right side
    490.93x = 199,601.22
  5. Step 5: Solve for x
    x = 199,601.22/490.93
  6. Step 6: Final answer
    x = 406.58

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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.