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Finding the Fourth Proportional to 386.97, 534.02 and 212.31

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Solution

The fourth proportional to 386.97, 534.02 and 212.31 is: 292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.97 : 534.02 = 212.31 : x
  2. Step 2: Convert to fraction form
    386.97/534.02 = 212.31/x
  3. Step 3: Cross multiply
    386.97x = 534.02 × 212.31
  4. Step 4: Simplify right side
    386.97x = 113,377.26
  5. Step 5: Solve for x
    x = 113,377.26/386.97
  6. Step 6: Final answer
    x = 292.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.