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Finding the Fourth Proportional to 381.13, 571.04 and 257.46

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Solution

The fourth proportional to 381.13, 571.04 and 257.46 is: 385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.13 : 571.04 = 257.46 : x
  2. Step 2: Convert to fraction form
    381.13/571.04 = 257.46/x
  3. Step 3: Cross multiply
    381.13x = 571.04 × 257.46
  4. Step 4: Simplify right side
    381.13x = 147,019.64
  5. Step 5: Solve for x
    x = 147,019.64/381.13
  6. Step 6: Final answer
    x = 385.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.