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Finding the Fourth Proportional to 578.06, 796.96 and 460.44

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Solution

The fourth proportional to 578.06, 796.96 and 460.44 is: 634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.06 : 796.96 = 460.44 : x
  2. Step 2: Convert to fraction form
    578.06/796.96 = 460.44/x
  3. Step 3: Cross multiply
    578.06x = 796.96 × 460.44
  4. Step 4: Simplify right side
    578.06x = 366,952.26
  5. Step 5: Solve for x
    x = 366,952.26/578.06
  6. Step 6: Final answer
    x = 634.80

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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.