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Finding the Fourth Proportional to 578.08, 796.79 and 409.81

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Solution

The fourth proportional to 578.08, 796.79 and 409.81 is: 564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.08 : 796.79 = 409.81 : x
  2. Step 2: Convert to fraction form
    578.08/796.79 = 409.81/x
  3. Step 3: Cross multiply
    578.08x = 796.79 × 409.81
  4. Step 4: Simplify right side
    578.08x = 326,532.23
  5. Step 5: Solve for x
    x = 326,532.23/578.08
  6. Step 6: Final answer
    x = 564.86

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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.