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Finding the Fourth Proportional to 600.06, 825.98 and 517.44

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Solution

The fourth proportional to 600.06, 825.98 and 517.44 is: 712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.06 : 825.98 = 517.44 : x
  2. Step 2: Convert to fraction form
    600.06/825.98 = 517.44/x
  3. Step 3: Cross multiply
    600.06x = 825.98 × 517.44
  4. Step 4: Simplify right side
    600.06x = 427,395.09
  5. Step 5: Solve for x
    x = 427,395.09/600.06
  6. Step 6: Final answer
    x = 712.25

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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.