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Finding the Fourth Proportional to 386.12, 578.94 and 215.24

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Solution

The fourth proportional to 386.12, 578.94 and 215.24 is: 322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.12 : 578.94 = 215.24 : x
  2. Step 2: Convert to fraction form
    386.12/578.94 = 215.24/x
  3. Step 3: Cross multiply
    386.12x = 578.94 × 215.24
  4. Step 4: Simplify right side
    386.12x = 124,611.05
  5. Step 5: Solve for x
    x = 124,611.05/386.12
  6. Step 6: Final answer
    x = 322.73

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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.