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Finding the Fourth Proportional to 454.49, 681.49 and 180.44

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Solution

The fourth proportional to 454.49, 681.49 and 180.44 is: 270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.49 : 681.49 = 180.44 : x
  2. Step 2: Convert to fraction form
    454.49/681.49 = 180.44/x
  3. Step 3: Cross multiply
    454.49x = 681.49 × 180.44
  4. Step 4: Simplify right side
    454.49x = 122,964.20
  5. Step 5: Solve for x
    x = 122,964.20/454.49
  6. Step 6: Final answer
    x = 270.56

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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.