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Finding the Fourth Proportional to 600.80, 829.10 and 335.24

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Solution

The fourth proportional to 600.80, 829.10 and 335.24 is: 462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.80 : 829.10 = 335.24 : x
  2. Step 2: Convert to fraction form
    600.80/829.10 = 335.24/x
  3. Step 3: Cross multiply
    600.80x = 829.10 × 335.24
  4. Step 4: Simplify right side
    600.80x = 277,947.48
  5. Step 5: Solve for x
    x = 277,947.48/600.80
  6. Step 6: Final answer
    x = 462.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.