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Finding the Fourth Proportional to 381.37, 571.29 and 175.65

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Solution

The fourth proportional to 381.37, 571.29 and 175.65 is: 263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.37 : 571.29 = 175.65 : x
  2. Step 2: Convert to fraction form
    381.37/571.29 = 175.65/x
  3. Step 3: Cross multiply
    381.37x = 571.29 × 175.65
  4. Step 4: Simplify right side
    381.37x = 100,346.21
  5. Step 5: Solve for x
    x = 100,346.21/381.37
  6. Step 6: Final answer
    x = 263.12

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