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Finding the Fourth Proportional to 486.12, 728.37 and 280.92

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Solution

The fourth proportional to 486.12, 728.37 and 280.92 is: 420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.12 : 728.37 = 280.92 : x
  2. Step 2: Convert to fraction form
    486.12/728.37 = 280.92/x
  3. Step 3: Cross multiply
    486.12x = 728.37 × 280.92
  4. Step 4: Simplify right side
    486.12x = 204,613.70
  5. Step 5: Solve for x
    x = 204,613.70/486.12
  6. Step 6: Final answer
    x = 420.91

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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.