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Finding the Fourth Proportional to 573.66, 790.83 and 396.27

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Solution

The fourth proportional to 573.66, 790.83 and 396.27 is: 546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.66 : 790.83 = 396.27 : x
  2. Step 2: Convert to fraction form
    573.66/790.83 = 396.27/x
  3. Step 3: Cross multiply
    573.66x = 790.83 × 396.27
  4. Step 4: Simplify right side
    573.66x = 313,382.20
  5. Step 5: Solve for x
    x = 313,382.20/573.66
  6. Step 6: Final answer
    x = 546.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.