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Finding the Fourth Proportional to 421.02, 580.97 and 234.49

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Solution

The fourth proportional to 421.02, 580.97 and 234.49 is: 323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.02 : 580.97 = 234.49 : x
  2. Step 2: Convert to fraction form
    421.02/580.97 = 234.49/x
  3. Step 3: Cross multiply
    421.02x = 580.97 × 234.49
  4. Step 4: Simplify right side
    421.02x = 136,231.66
  5. Step 5: Solve for x
    x = 136,231.66/421.02
  6. Step 6: Final answer
    x = 323.58

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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.