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Finding the Fourth Proportional to 494.18, 681.81 and 319.62

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Solution

The fourth proportional to 494.18, 681.81 and 319.62 is: 440.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.18 : 681.81 = 319.62 : x
  2. Step 2: Convert to fraction form
    494.18/681.81 = 319.62/x
  3. Step 3: Cross multiply
    494.18x = 681.81 × 319.62
  4. Step 4: Simplify right side
    494.18x = 217,920.11
  5. Step 5: Solve for x
    x = 217,920.11/494.18
  6. Step 6: Final answer
    x = 440.97

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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.