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Finding the Fourth Proportional to 419.92, 580.04 and 321.88

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Solution

The fourth proportional to 419.92, 580.04 and 321.88 is: 444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.92 : 580.04 = 321.88 : x
  2. Step 2: Convert to fraction form
    419.92/580.04 = 321.88/x
  3. Step 3: Cross multiply
    419.92x = 580.04 × 321.88
  4. Step 4: Simplify right side
    419.92x = 186,703.28
  5. Step 5: Solve for x
    x = 186,703.28/419.92
  6. Step 6: Final answer
    x = 444.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.