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Finding the Fourth Proportional to 600.36, 822.49 and 578.20

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Solution

The fourth proportional to 600.36, 822.49 and 578.20 is: 792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.36 : 822.49 = 578.20 : x
  2. Step 2: Convert to fraction form
    600.36/822.49 = 578.20/x
  3. Step 3: Cross multiply
    600.36x = 822.49 × 578.20
  4. Step 4: Simplify right side
    600.36x = 475,563.72
  5. Step 5: Solve for x
    x = 475,563.72/600.36
  6. Step 6: Final answer
    x = 792.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.