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Finding the Fourth Proportional to 420.97, 580.99 and 234.48

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Solution

The fourth proportional to 420.97, 580.99 and 234.48 is: 323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.97 : 580.99 = 234.48 : x
  2. Step 2: Convert to fraction form
    420.97/580.99 = 234.48/x
  3. Step 3: Cross multiply
    420.97x = 580.99 × 234.48
  4. Step 4: Simplify right side
    420.97x = 136,230.76
  5. Step 5: Solve for x
    x = 136,230.76/420.97
  6. Step 6: Final answer
    x = 323.61

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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.