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Finding the Fourth Proportional to 578.94, 867.79 and 396.28

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Solution

The fourth proportional to 578.94, 867.79 and 396.28 is: 594.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.94 : 867.79 = 396.28 : x
  2. Step 2: Convert to fraction form
    578.94/867.79 = 396.28/x
  3. Step 3: Cross multiply
    578.94x = 867.79 × 396.28
  4. Step 4: Simplify right side
    578.94x = 343,887.82
  5. Step 5: Solve for x
    x = 343,887.82/578.94
  6. Step 6: Final answer
    x = 594.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.