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Finding the Fourth Proportional to 603.81, 833.19 and 338.19

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Solution

The fourth proportional to 603.81, 833.19 and 338.19 is: 466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.81 : 833.19 = 338.19 : x
  2. Step 2: Convert to fraction form
    603.81/833.19 = 338.19/x
  3. Step 3: Cross multiply
    603.81x = 833.19 × 338.19
  4. Step 4: Simplify right side
    603.81x = 281,776.53
  5. Step 5: Solve for x
    x = 281,776.53/603.81
  6. Step 6: Final answer
    x = 466.66

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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.