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Finding the Fourth Proportional to 411.80, 570.89 and 389.88

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Solution

The fourth proportional to 411.80, 570.89 and 389.88 is: 540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.80 : 570.89 = 389.88 : x
  2. Step 2: Convert to fraction form
    411.80/570.89 = 389.88/x
  3. Step 3: Cross multiply
    411.80x = 570.89 × 389.88
  4. Step 4: Simplify right side
    411.80x = 222,578.59
  5. Step 5: Solve for x
    x = 222,578.59/411.80
  6. Step 6: Final answer
    x = 540.50

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.