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Finding the Fourth Proportional to 387.08, 534.19 and 212.42

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Solution

The fourth proportional to 387.08, 534.19 and 212.42 is: 293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.08 : 534.19 = 212.42 : x
  2. Step 2: Convert to fraction form
    387.08/534.19 = 212.42/x
  3. Step 3: Cross multiply
    387.08x = 534.19 × 212.42
  4. Step 4: Simplify right side
    387.08x = 113,472.64
  5. Step 5: Solve for x
    x = 113,472.64/387.08
  6. Step 6: Final answer
    x = 293.15

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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.