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Finding the Fourth Proportional to 454.57, 681.65 and 180.45

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Solution

The fourth proportional to 454.57, 681.65 and 180.45 is: 270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.57 : 681.65 = 180.45 : x
  2. Step 2: Convert to fraction form
    454.57/681.65 = 180.45/x
  3. Step 3: Cross multiply
    454.57x = 681.65 × 180.45
  4. Step 4: Simplify right side
    454.57x = 123,003.74
  5. Step 5: Solve for x
    x = 123,003.74/454.57
  6. Step 6: Final answer
    x = 270.59

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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.