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Finding the Fourth Proportional to 600.94, 829.34 and 338.98

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Solution

The fourth proportional to 600.94, 829.34 and 338.98 is: 467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.94 : 829.34 = 338.98 : x
  2. Step 2: Convert to fraction form
    600.94/829.34 = 338.98/x
  3. Step 3: Cross multiply
    600.94x = 829.34 × 338.98
  4. Step 4: Simplify right side
    600.94x = 281,129.67
  5. Step 5: Solve for x
    x = 281,129.67/600.94
  6. Step 6: Final answer
    x = 467.82

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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.