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Finding the Fourth Proportional to 600.33, 828.51 and 334.80

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Solution

The fourth proportional to 600.33, 828.51 and 334.80 is: 462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.33 : 828.51 = 334.80 : x
  2. Step 2: Convert to fraction form
    600.33/828.51 = 334.80/x
  3. Step 3: Cross multiply
    600.33x = 828.51 × 334.80
  4. Step 4: Simplify right side
    600.33x = 277,385.15
  5. Step 5: Solve for x
    x = 277,385.15/600.33
  6. Step 6: Final answer
    x = 462.05

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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.