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Finding the Fourth Proportional to 552.68, 828.49 and 205.77

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Solution

The fourth proportional to 552.68, 828.49 and 205.77 is: 308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.68 : 828.49 = 205.77 : x
  2. Step 2: Convert to fraction form
    552.68/828.49 = 205.77/x
  3. Step 3: Cross multiply
    552.68x = 828.49 × 205.77
  4. Step 4: Simplify right side
    552.68x = 170,477.36
  5. Step 5: Solve for x
    x = 170,477.36/552.68
  6. Step 6: Final answer
    x = 308.46

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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.