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Finding the Fourth Proportional to 494.67, 682.31 and 319.98

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Solution

The fourth proportional to 494.67, 682.31 and 319.98 is: 441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.67 : 682.31 = 319.98 : x
  2. Step 2: Convert to fraction form
    494.67/682.31 = 319.98/x
  3. Step 3: Cross multiply
    494.67x = 682.31 × 319.98
  4. Step 4: Simplify right side
    494.67x = 218,323.95
  5. Step 5: Solve for x
    x = 218,323.95/494.67
  6. Step 6: Final answer
    x = 441.35

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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.