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Finding the Fourth Proportional to 552.69, 828.80 and 206.05

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Solution

The fourth proportional to 552.69, 828.80 and 206.05 is: 308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.69 : 828.80 = 206.05 : x
  2. Step 2: Convert to fraction form
    552.69/828.80 = 206.05/x
  3. Step 3: Cross multiply
    552.69x = 828.80 × 206.05
  4. Step 4: Simplify right side
    552.69x = 170,774.24
  5. Step 5: Solve for x
    x = 170,774.24/552.69
  6. Step 6: Final answer
    x = 308.99

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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.