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Finding the Fourth Proportional to 578.05, 796.78 and 356.52

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Solution

The fourth proportional to 578.05, 796.78 and 356.52 is: 491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.05 : 796.78 = 356.52 : x
  2. Step 2: Convert to fraction form
    578.05/796.78 = 356.52/x
  3. Step 3: Cross multiply
    578.05x = 796.78 × 356.52
  4. Step 4: Simplify right side
    578.05x = 284,068.01
  5. Step 5: Solve for x
    x = 284,068.01/578.05
  6. Step 6: Final answer
    x = 491.42

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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.