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Finding the Fourth Proportional to 386.46, 579.86 and 213.11

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Solution

The fourth proportional to 386.46, 579.86 and 213.11 is: 319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.46 : 579.86 = 213.11 : x
  2. Step 2: Convert to fraction form
    386.46/579.86 = 213.11/x
  3. Step 3: Cross multiply
    386.46x = 579.86 × 213.11
  4. Step 4: Simplify right side
    386.46x = 123,572.59
  5. Step 5: Solve for x
    x = 123,572.59/386.46
  6. Step 6: Final answer
    x = 319.75

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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.