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Finding the Fourth Proportional to 420.56, 580.36 and 234.04

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Solution

The fourth proportional to 420.56, 580.36 and 234.04 is: 322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.56 : 580.36 = 234.04 : x
  2. Step 2: Convert to fraction form
    420.56/580.36 = 234.04/x
  3. Step 3: Cross multiply
    420.56x = 580.36 × 234.04
  4. Step 4: Simplify right side
    420.56x = 135,826.28
  5. Step 5: Solve for x
    x = 135,826.28/420.56
  6. Step 6: Final answer
    x = 322.97

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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.