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Finding the Fourth Proportional to 375.56, 517.88 and 323.27

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Solution

The fourth proportional to 375.56, 517.88 and 323.27 is: 445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.56 : 517.88 = 323.27 : x
  2. Step 2: Convert to fraction form
    375.56/517.88 = 323.27/x
  3. Step 3: Cross multiply
    375.56x = 517.88 × 323.27
  4. Step 4: Simplify right side
    375.56x = 167,410.86
  5. Step 5: Solve for x
    x = 167,410.86/375.56
  6. Step 6: Final answer
    x = 445.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.