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Finding the Fourth Proportional to 520.08, 779.16 and 389.84

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Solution

The fourth proportional to 520.08, 779.16 and 389.84 is: 584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.08 : 779.16 = 389.84 : x
  2. Step 2: Convert to fraction form
    520.08/779.16 = 389.84/x
  3. Step 3: Cross multiply
    520.08x = 779.16 × 389.84
  4. Step 4: Simplify right side
    520.08x = 303,747.73
  5. Step 5: Solve for x
    x = 303,747.73/520.08
  6. Step 6: Final answer
    x = 584.04

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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.