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Finding the Fourth Proportional to 420.84, 580.73 and 234.29

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Solution

The fourth proportional to 420.84, 580.73 and 234.29 is: 323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.84 : 580.73 = 234.29 : x
  2. Step 2: Convert to fraction form
    420.84/580.73 = 234.29/x
  3. Step 3: Cross multiply
    420.84x = 580.73 × 234.29
  4. Step 4: Simplify right side
    420.84x = 136,059.23
  5. Step 5: Solve for x
    x = 136,059.23/420.84
  6. Step 6: Final answer
    x = 323.31

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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.