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Finding the Fourth Proportional to 381.42, 526.33 and 213.37

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Solution

The fourth proportional to 381.42, 526.33 and 213.37 is: 294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.42 : 526.33 = 213.37 : x
  2. Step 2: Convert to fraction form
    381.42/526.33 = 213.37/x
  3. Step 3: Cross multiply
    381.42x = 526.33 × 213.37
  4. Step 4: Simplify right side
    381.42x = 112,303.96
  5. Step 5: Solve for x
    x = 112,303.96/381.42
  6. Step 6: Final answer
    x = 294.43

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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.