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Finding the Fourth Proportional to 447.90, 671.74 and 375.54

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Solution

The fourth proportional to 447.90, 671.74 and 375.54 is: 563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.90 : 671.74 = 375.54 : x
  2. Step 2: Convert to fraction form
    447.90/671.74 = 375.54/x
  3. Step 3: Cross multiply
    447.90x = 671.74 × 375.54
  4. Step 4: Simplify right side
    447.90x = 252,265.24
  5. Step 5: Solve for x
    x = 252,265.24/447.90
  6. Step 6: Final answer
    x = 563.22

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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.