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Finding the Fourth Proportional to 420.79, 580.73 and 234.31

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Solution

The fourth proportional to 420.79, 580.73 and 234.31 is: 323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.79 : 580.73 = 234.31 : x
  2. Step 2: Convert to fraction form
    420.79/580.73 = 234.31/x
  3. Step 3: Cross multiply
    420.79x = 580.73 × 234.31
  4. Step 4: Simplify right side
    420.79x = 136,070.85
  5. Step 5: Solve for x
    x = 136,070.85/420.79
  6. Step 6: Final answer
    x = 323.37

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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.