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Finding the Fourth Proportional to 386.51, 579.34 and 213.14

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Solution

The fourth proportional to 386.51, 579.34 and 213.14 is: 319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.51 : 579.34 = 213.14 : x
  2. Step 2: Convert to fraction form
    386.51/579.34 = 213.14/x
  3. Step 3: Cross multiply
    386.51x = 579.34 × 213.14
  4. Step 4: Simplify right side
    386.51x = 123,477.90
  5. Step 5: Solve for x
    x = 123,477.90/386.51
  6. Step 6: Final answer
    x = 319.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.