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Finding the Fourth Proportional to 447.34, 670.95 and 180.22

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Solution

The fourth proportional to 447.34, 670.95 and 180.22 is: 270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.34 : 670.95 = 180.22 : x
  2. Step 2: Convert to fraction form
    447.34/670.95 = 180.22/x
  3. Step 3: Cross multiply
    447.34x = 670.95 × 180.22
  4. Step 4: Simplify right side
    447.34x = 120,918.61
  5. Step 5: Solve for x
    x = 120,918.61/447.34
  6. Step 6: Final answer
    x = 270.31

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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.