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Finding the Fourth Proportional to 421.23, 580.32 and 327.63

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Solution

The fourth proportional to 421.23, 580.32 and 327.63 is: 451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.23 : 580.32 = 327.63 : x
  2. Step 2: Convert to fraction form
    421.23/580.32 = 327.63/x
  3. Step 3: Cross multiply
    421.23x = 580.32 × 327.63
  4. Step 4: Simplify right side
    421.23x = 190,130.24
  5. Step 5: Solve for x
    x = 190,130.24/421.23
  6. Step 6: Final answer
    x = 451.37

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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.