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Finding the Fourth Proportional to 387.56, 534.85 and 212.92

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Solution

The fourth proportional to 387.56, 534.85 and 212.92 is: 293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.56 : 534.85 = 212.92 : x
  2. Step 2: Convert to fraction form
    387.56/534.85 = 212.92/x
  3. Step 3: Cross multiply
    387.56x = 534.85 × 212.92
  4. Step 4: Simplify right side
    387.56x = 113,878.39
  5. Step 5: Solve for x
    x = 113,878.39/387.56
  6. Step 6: Final answer
    x = 293.83

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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.