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Finding the Fourth Proportional to 420.49, 580.19 and 273.21

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Solution

The fourth proportional to 420.49, 580.19 and 273.21 is: 376.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.49 : 580.19 = 273.21 : x
  2. Step 2: Convert to fraction form
    420.49/580.19 = 273.21/x
  3. Step 3: Cross multiply
    420.49x = 580.19 × 273.21
  4. Step 4: Simplify right side
    420.49x = 158,513.71
  5. Step 5: Solve for x
    x = 158,513.71/420.49
  6. Step 6: Final answer
    x = 376.97

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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.