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Finding the Fourth Proportional to 552.76, 828.69 and 378.99

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Solution

The fourth proportional to 552.76, 828.69 and 378.99 is: 568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.76 : 828.69 = 378.99 : x
  2. Step 2: Convert to fraction form
    552.76/828.69 = 378.99/x
  3. Step 3: Cross multiply
    552.76x = 828.69 × 378.99
  4. Step 4: Simplify right side
    552.76x = 314,065.22
  5. Step 5: Solve for x
    x = 314,065.22/552.76
  6. Step 6: Final answer
    x = 568.18

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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.