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Finding the Fourth Proportional to 578.29, 796.94 and 420.64

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Solution

The fourth proportional to 578.29, 796.94 and 420.64 is: 579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.29 : 796.94 = 420.64 : x
  2. Step 2: Convert to fraction form
    578.29/796.94 = 420.64/x
  3. Step 3: Cross multiply
    578.29x = 796.94 × 420.64
  4. Step 4: Simplify right side
    578.29x = 335,226.81
  5. Step 5: Solve for x
    x = 335,226.81/578.29
  6. Step 6: Final answer
    x = 579.69

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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.