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Finding the Fourth Proportional to 415.89, 574.20 and 321.21

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Solution

The fourth proportional to 415.89, 574.20 and 321.21 is: 443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.89 : 574.20 = 321.21 : x
  2. Step 2: Convert to fraction form
    415.89/574.20 = 321.21/x
  3. Step 3: Cross multiply
    415.89x = 574.20 × 321.21
  4. Step 4: Simplify right side
    415.89x = 184,438.78
  5. Step 5: Solve for x
    x = 184,438.78/415.89
  6. Step 6: Final answer
    x = 443.48

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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.