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Finding the Fourth Proportional to 381.75, 527.14 and 257.82

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Solution

The fourth proportional to 381.75, 527.14 and 257.82 is: 356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.75 : 527.14 = 257.82 : x
  2. Step 2: Convert to fraction form
    381.75/527.14 = 257.82/x
  3. Step 3: Cross multiply
    381.75x = 527.14 × 257.82
  4. Step 4: Simplify right side
    381.75x = 135,907.23
  5. Step 5: Solve for x
    x = 135,907.23/381.75
  6. Step 6: Final answer
    x = 356.01

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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.