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Finding the Fourth Proportional to 381.26, 570.53 and 330.08

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Solution

The fourth proportional to 381.26, 570.53 and 330.08 is: 493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.26 : 570.53 = 330.08 : x
  2. Step 2: Convert to fraction form
    381.26/570.53 = 330.08/x
  3. Step 3: Cross multiply
    381.26x = 570.53 × 330.08
  4. Step 4: Simplify right side
    381.26x = 188,318.54
  5. Step 5: Solve for x
    x = 188,318.54/381.26
  6. Step 6: Final answer
    x = 493.94

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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.