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Finding the Fourth Proportional to 380.80, 570.84 and 218.20

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Solution

The fourth proportional to 380.80, 570.84 and 218.20 is: 327.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.80 : 570.84 = 218.20 : x
  2. Step 2: Convert to fraction form
    380.80/570.84 = 218.20/x
  3. Step 3: Cross multiply
    380.80x = 570.84 × 218.20
  4. Step 4: Simplify right side
    380.80x = 124,557.29
  5. Step 5: Solve for x
    x = 124,557.29/380.80
  6. Step 6: Final answer
    x = 327.09

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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.