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Finding the Fourth Proportional to 421.09, 580.47 and 327.67

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Solution

The fourth proportional to 421.09, 580.47 and 327.67 is: 451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.09 : 580.47 = 327.67 : x
  2. Step 2: Convert to fraction form
    421.09/580.47 = 327.67/x
  3. Step 3: Cross multiply
    421.09x = 580.47 × 327.67
  4. Step 4: Simplify right side
    421.09x = 190,199.92
  5. Step 5: Solve for x
    x = 190,199.92/421.09
  6. Step 6: Final answer
    x = 451.69

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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.