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Finding the Fourth Proportional to 397.14, 547.96 and 303.99

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Solution

The fourth proportional to 397.14, 547.96 and 303.99 is: 419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.14 : 547.96 = 303.99 : x
  2. Step 2: Convert to fraction form
    397.14/547.96 = 303.99/x
  3. Step 3: Cross multiply
    397.14x = 547.96 × 303.99
  4. Step 4: Simplify right side
    397.14x = 166,576.11
  5. Step 5: Solve for x
    x = 166,576.11/397.14
  6. Step 6: Final answer
    x = 419.44

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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.