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Finding the Fourth Proportional to 420.97, 580.94 and 234.47

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Solution

The fourth proportional to 420.97, 580.94 and 234.47 is: 323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.97 : 580.94 = 234.47 : x
  2. Step 2: Convert to fraction form
    420.97/580.94 = 234.47/x
  3. Step 3: Cross multiply
    420.97x = 580.94 × 234.47
  4. Step 4: Simplify right side
    420.97x = 136,213.00
  5. Step 5: Solve for x
    x = 136,213.00/420.97
  6. Step 6: Final answer
    x = 323.57

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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.