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Finding the Fourth Proportional to 420.38, 580.67 and 323.33

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Solution

The fourth proportional to 420.38, 580.67 and 323.33 is: 446.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.38 : 580.67 = 323.33 : x
  2. Step 2: Convert to fraction form
    420.38/580.67 = 323.33/x
  3. Step 3: Cross multiply
    420.38x = 580.67 × 323.33
  4. Step 4: Simplify right side
    420.38x = 187,746.41
  5. Step 5: Solve for x
    x = 187,746.41/420.38
  6. Step 6: Final answer
    x = 446.62

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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.