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Finding the Fourth Proportional to 600.62, 828.80 and 335.07

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Solution

The fourth proportional to 600.62, 828.80 and 335.07 is: 462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.62 : 828.80 = 335.07 : x
  2. Step 2: Convert to fraction form
    600.62/828.80 = 335.07/x
  3. Step 3: Cross multiply
    600.62x = 828.80 × 335.07
  4. Step 4: Simplify right side
    600.62x = 277,705.60
  5. Step 5: Solve for x
    x = 277,705.60/600.62
  6. Step 6: Final answer
    x = 462.37

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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.