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Finding the Fourth Proportional to 578.40, 867.56 and 396.16

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Solution

The fourth proportional to 578.40, 867.56 and 396.16 is: 594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.40 : 867.56 = 396.16 : x
  2. Step 2: Convert to fraction form
    578.40/867.56 = 396.16/x
  3. Step 3: Cross multiply
    578.40x = 867.56 × 396.16
  4. Step 4: Simplify right side
    578.40x = 343,692.57
  5. Step 5: Solve for x
    x = 343,692.57/578.40
  6. Step 6: Final answer
    x = 594.21

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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.