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Finding the Fourth Proportional to 490.84, 739.91 and 422.92

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Solution

The fourth proportional to 490.84, 739.91 and 422.92 is: 637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.84 : 739.91 = 422.92 : x
  2. Step 2: Convert to fraction form
    490.84/739.91 = 422.92/x
  3. Step 3: Cross multiply
    490.84x = 739.91 × 422.92
  4. Step 4: Simplify right side
    490.84x = 312,922.74
  5. Step 5: Solve for x
    x = 312,922.74/490.84
  6. Step 6: Final answer
    x = 637.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.