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Finding the Fourth Proportional to 552.18, 825.84 and 334.30

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Solution

The fourth proportional to 552.18, 825.84 and 334.30 is: 499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.18 : 825.84 = 334.30 : x
  2. Step 2: Convert to fraction form
    552.18/825.84 = 334.30/x
  3. Step 3: Cross multiply
    552.18x = 825.84 × 334.30
  4. Step 4: Simplify right side
    552.18x = 276,078.31
  5. Step 5: Solve for x
    x = 276,078.31/552.18
  6. Step 6: Final answer
    x = 499.98

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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.