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Finding the Fourth Proportional to 420.92, 580.74 and 243.88

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Solution

The fourth proportional to 420.92, 580.74 and 243.88 is: 336.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.92 : 580.74 = 243.88 : x
  2. Step 2: Convert to fraction form
    420.92/580.74 = 243.88/x
  3. Step 3: Cross multiply
    420.92x = 580.74 × 243.88
  4. Step 4: Simplify right side
    420.92x = 141,630.56
  5. Step 5: Solve for x
    x = 141,630.56/420.92
  6. Step 6: Final answer
    x = 336.48

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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.