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Finding the Fourth Proportional to 387.26, 534.42 and 212.61

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Solution

The fourth proportional to 387.26, 534.42 and 212.61 is: 293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.26 : 534.42 = 212.61 : x
  2. Step 2: Convert to fraction form
    387.26/534.42 = 212.61/x
  3. Step 3: Cross multiply
    387.26x = 534.42 × 212.61
  4. Step 4: Simplify right side
    387.26x = 113,623.04
  5. Step 5: Solve for x
    x = 113,623.04/387.26
  6. Step 6: Final answer
    x = 293.41

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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.