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Finding the Fourth Proportional to 447.55, 671.47 and 252.38

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Solution

The fourth proportional to 447.55, 671.47 and 252.38 is: 378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.55 : 671.47 = 252.38 : x
  2. Step 2: Convert to fraction form
    447.55/671.47 = 252.38/x
  3. Step 3: Cross multiply
    447.55x = 671.47 × 252.38
  4. Step 4: Simplify right side
    447.55x = 169,466.65
  5. Step 5: Solve for x
    x = 169,466.65/447.55
  6. Step 6: Final answer
    x = 378.66

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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.