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Finding the Fourth Proportional to 420.92, 580.92 and 234.43

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Solution

The fourth proportional to 420.92, 580.92 and 234.43 is: 323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.92 : 580.92 = 234.43 : x
  2. Step 2: Convert to fraction form
    420.92/580.92 = 234.43/x
  3. Step 3: Cross multiply
    420.92x = 580.92 × 234.43
  4. Step 4: Simplify right side
    420.92x = 136,181.00
  5. Step 5: Solve for x
    x = 136,181.00/420.92
  6. Step 6: Final answer
    x = 323.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.