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Finding the Fourth Proportional to 420.48, 580.12 and 243.44

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Solution

The fourth proportional to 420.48, 580.12 and 243.44 is: 335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.48 : 580.12 = 243.44 : x
  2. Step 2: Convert to fraction form
    420.48/580.12 = 243.44/x
  3. Step 3: Cross multiply
    420.48x = 580.12 × 243.44
  4. Step 4: Simplify right side
    420.48x = 141,224.41
  5. Step 5: Solve for x
    x = 141,224.41/420.48
  6. Step 6: Final answer
    x = 335.86

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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.