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Finding the Fourth Proportional to 852.40, 1,278.44 and 389.90

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Solution

The fourth proportional to 852.40, 1,278.44 and 389.90 is: 584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.40 : 1,278.44 = 389.90 : x
  2. Step 2: Convert to fraction form
    852.40/1,278.44 = 389.90/x
  3. Step 3: Cross multiply
    852.40x = 1,278.44 × 389.90
  4. Step 4: Simplify right side
    852.40x = 498,463.76
  5. Step 5: Solve for x
    x = 498,463.76/852.40
  6. Step 6: Final answer
    x = 584.78

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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.