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Finding the Fourth Proportional to 381.43, 526.37 and 206.77

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Solution

The fourth proportional to 381.43, 526.37 and 206.77 is: 285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.43 : 526.37 = 206.77 : x
  2. Step 2: Convert to fraction form
    381.43/526.37 = 206.77/x
  3. Step 3: Cross multiply
    381.43x = 526.37 × 206.77
  4. Step 4: Simplify right side
    381.43x = 108,839.02
  5. Step 5: Solve for x
    x = 108,839.02/381.43
  6. Step 6: Final answer
    x = 285.35

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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.