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Finding the Fourth Proportional to 420.09, 580.17 and 327.93

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Solution

The fourth proportional to 420.09, 580.17 and 327.93 is: 452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.09 : 580.17 = 327.93 : x
  2. Step 2: Convert to fraction form
    420.09/580.17 = 327.93/x
  3. Step 3: Cross multiply
    420.09x = 580.17 × 327.93
  4. Step 4: Simplify right side
    420.09x = 190,255.15
  5. Step 5: Solve for x
    x = 190,255.15/420.09
  6. Step 6: Final answer
    x = 452.89

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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.