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Finding the Fourth Proportional to 574.68, 796.17 and 563.70

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Solution

The fourth proportional to 574.68, 796.17 and 563.70 is: 780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.68 : 796.17 = 563.70 : x
  2. Step 2: Convert to fraction form
    574.68/796.17 = 563.70/x
  3. Step 3: Cross multiply
    574.68x = 796.17 × 563.70
  4. Step 4: Simplify right side
    574.68x = 448,801.03
  5. Step 5: Solve for x
    x = 448,801.03/574.68
  6. Step 6: Final answer
    x = 780.96

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.