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Finding the Fourth Proportional to 381.18, 571.04 and 234.50

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Solution

The fourth proportional to 381.18, 571.04 and 234.50 is: 351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.18 : 571.04 = 234.50 : x
  2. Step 2: Convert to fraction form
    381.18/571.04 = 234.50/x
  3. Step 3: Cross multiply
    381.18x = 571.04 × 234.50
  4. Step 4: Simplify right side
    381.18x = 133,907.71
  5. Step 5: Solve for x
    x = 133,907.71/381.18
  6. Step 6: Final answer
    x = 351.30

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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.