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Finding the Fourth Proportional to 486.82, 729.65 and 280.97

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Solution

The fourth proportional to 486.82, 729.65 and 280.97 is: 421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.82 : 729.65 = 280.97 : x
  2. Step 2: Convert to fraction form
    486.82/729.65 = 280.97/x
  3. Step 3: Cross multiply
    486.82x = 729.65 × 280.97
  4. Step 4: Simplify right side
    486.82x = 205,006.11
  5. Step 5: Solve for x
    x = 205,006.11/486.82
  6. Step 6: Final answer
    x = 421.11

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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.