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Finding the Fourth Proportional to 486.14, 728.80 and 280.80

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Solution

The fourth proportional to 486.14, 728.80 and 280.80 is: 420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.14 : 728.80 = 280.80 : x
  2. Step 2: Convert to fraction form
    486.14/728.80 = 280.80/x
  3. Step 3: Cross multiply
    486.14x = 728.80 × 280.80
  4. Step 4: Simplify right side
    486.14x = 204,646.34
  5. Step 5: Solve for x
    x = 204,646.34/486.14
  6. Step 6: Final answer
    x = 420.97

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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.