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Finding the Fourth Proportional to 552.58, 828.82 and 227.95

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Solution

The fourth proportional to 552.58, 828.82 and 227.95 is: 341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.58 : 828.82 = 227.95 : x
  2. Step 2: Convert to fraction form
    552.58/828.82 = 227.95/x
  3. Step 3: Cross multiply
    552.58x = 828.82 × 227.95
  4. Step 4: Simplify right side
    552.58x = 188,929.52
  5. Step 5: Solve for x
    x = 188,929.52/552.58
  6. Step 6: Final answer
    x = 341.90

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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.