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Finding the Fourth Proportional to 454.89, 681.93 and 180.79

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Solution

The fourth proportional to 454.89, 681.93 and 180.79 is: 271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.89 : 681.93 = 180.79 : x
  2. Step 2: Convert to fraction form
    454.89/681.93 = 180.79/x
  3. Step 3: Cross multiply
    454.89x = 681.93 × 180.79
  4. Step 4: Simplify right side
    454.89x = 123,286.93
  5. Step 5: Solve for x
    x = 123,286.93/454.89
  6. Step 6: Final answer
    x = 271.03

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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.