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Finding the Fourth Proportional to 600.64, 828.90 and 335.11

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Solution

The fourth proportional to 600.64, 828.90 and 335.11 is: 462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.64 : 828.90 = 335.11 : x
  2. Step 2: Convert to fraction form
    600.64/828.90 = 335.11/x
  3. Step 3: Cross multiply
    600.64x = 828.90 × 335.11
  4. Step 4: Simplify right side
    600.64x = 277,772.68
  5. Step 5: Solve for x
    x = 277,772.68/600.64
  6. Step 6: Final answer
    x = 462.46

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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.