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Finding the Fourth Proportional to 381.60, 526.62 and 213.56

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Solution

The fourth proportional to 381.60, 526.62 and 213.56 is: 294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.60 : 526.62 = 213.56 : x
  2. Step 2: Convert to fraction form
    381.60/526.62 = 213.56/x
  3. Step 3: Cross multiply
    381.60x = 526.62 × 213.56
  4. Step 4: Simplify right side
    381.60x = 112,464.97
  5. Step 5: Solve for x
    x = 112,464.97/381.60
  6. Step 6: Final answer
    x = 294.72

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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.