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Finding the Fourth Proportional to 381.56, 573.42 and 295.16

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Solution

The fourth proportional to 381.56, 573.42 and 295.16 is: 443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.56 : 573.42 = 295.16 : x
  2. Step 2: Convert to fraction form
    381.56/573.42 = 295.16/x
  3. Step 3: Cross multiply
    381.56x = 573.42 × 295.16
  4. Step 4: Simplify right side
    381.56x = 169,250.65
  5. Step 5: Solve for x
    x = 169,250.65/381.56
  6. Step 6: Final answer
    x = 443.58

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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.