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Finding the Fourth Proportional to 343.81, 513.17 and 300.73

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Solution

The fourth proportional to 343.81, 513.17 and 300.73 is: 448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.81 : 513.17 = 300.73 : x
  2. Step 2: Convert to fraction form
    343.81/513.17 = 300.73/x
  3. Step 3: Cross multiply
    343.81x = 513.17 × 300.73
  4. Step 4: Simplify right side
    343.81x = 154,325.61
  5. Step 5: Solve for x
    x = 154,325.61/343.81
  6. Step 6: Final answer
    x = 448.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.