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Finding the Fourth Proportional to 381.24, 570.48 and 235.04

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Solution

The fourth proportional to 381.24, 570.48 and 235.04 is: 351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.24 : 570.48 = 235.04 : x
  2. Step 2: Convert to fraction form
    381.24/570.48 = 235.04/x
  3. Step 3: Cross multiply
    381.24x = 570.48 × 235.04
  4. Step 4: Simplify right side
    381.24x = 134,085.62
  5. Step 5: Solve for x
    x = 134,085.62/381.24
  6. Step 6: Final answer
    x = 351.71

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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.