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Finding the Fourth Proportional to 380.36, 570.33 and 243.33

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Solution

The fourth proportional to 380.36, 570.33 and 243.33 is: 364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.36 : 570.33 = 243.33 : x
  2. Step 2: Convert to fraction form
    380.36/570.33 = 243.33/x
  3. Step 3: Cross multiply
    380.36x = 570.33 × 243.33
  4. Step 4: Simplify right side
    380.36x = 138,778.40
  5. Step 5: Solve for x
    x = 138,778.40/380.36
  6. Step 6: Final answer
    x = 364.87

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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.