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Finding the Fourth Proportional to 552.66, 827.46 and 378.96

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Solution

The fourth proportional to 552.66, 827.46 and 378.96 is: 567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.66 : 827.46 = 378.96 : x
  2. Step 2: Convert to fraction form
    552.66/827.46 = 378.96/x
  3. Step 3: Cross multiply
    552.66x = 827.46 × 378.96
  4. Step 4: Simplify right side
    552.66x = 313,574.24
  5. Step 5: Solve for x
    x = 313,574.24/552.66
  6. Step 6: Final answer
    x = 567.39

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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.