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Finding the Fourth Proportional to 600.75, 829.02 and 335.24

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Solution

The fourth proportional to 600.75, 829.02 and 335.24 is: 462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.75 : 829.02 = 335.24 : x
  2. Step 2: Convert to fraction form
    600.75/829.02 = 335.24/x
  3. Step 3: Cross multiply
    600.75x = 829.02 × 335.24
  4. Step 4: Simplify right side
    600.75x = 277,916.52
  5. Step 5: Solve for x
    x = 277,916.52/600.75
  6. Step 6: Final answer
    x = 462.62

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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.