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Finding the Fourth Proportional to 486.21, 729.56 and 280.97

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Solution

The fourth proportional to 486.21, 729.56 and 280.97 is: 421.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.21 : 729.56 = 280.97 : x
  2. Step 2: Convert to fraction form
    486.21/729.56 = 280.97/x
  3. Step 3: Cross multiply
    486.21x = 729.56 × 280.97
  4. Step 4: Simplify right side
    486.21x = 204,981.53
  5. Step 5: Solve for x
    x = 204,981.53/486.21
  6. Step 6: Final answer
    x = 421.59

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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.