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Finding the Fourth Proportional to 600.99, 829.44 and 339.05

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Solution

The fourth proportional to 600.99, 829.44 and 339.05 is: 467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.99 : 829.44 = 339.05 : x
  2. Step 2: Convert to fraction form
    600.99/829.44 = 339.05/x
  3. Step 3: Cross multiply
    600.99x = 829.44 × 339.05
  4. Step 4: Simplify right side
    600.99x = 281,221.63
  5. Step 5: Solve for x
    x = 281,221.63/600.99
  6. Step 6: Final answer
    x = 467.93

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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.