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Finding the Fourth Proportional to 552.09, 828.03 and 321.43

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Solution

The fourth proportional to 552.09, 828.03 and 321.43 is: 482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.09 : 828.03 = 321.43 : x
  2. Step 2: Convert to fraction form
    552.09/828.03 = 321.43/x
  3. Step 3: Cross multiply
    552.09x = 828.03 × 321.43
  4. Step 4: Simplify right side
    552.09x = 266,153.05
  5. Step 5: Solve for x
    x = 266,153.05/552.09
  6. Step 6: Final answer
    x = 482.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.