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Finding the Fourth Proportional to 600.79, 829.08 and 338.80

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Solution

The fourth proportional to 600.79, 829.08 and 338.80 is: 467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.79 : 829.08 = 338.80 : x
  2. Step 2: Convert to fraction form
    600.79/829.08 = 338.80/x
  3. Step 3: Cross multiply
    600.79x = 829.08 × 338.80
  4. Step 4: Simplify right side
    600.79x = 280,893.34
  5. Step 5: Solve for x
    x = 280,893.34/600.79
  6. Step 6: Final answer
    x = 467.54

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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.