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Finding the Fourth Proportional to 486.30, 728.49 and 280.74

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Solution

The fourth proportional to 486.30, 728.49 and 280.74 is: 420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.30 : 728.49 = 280.74 : x
  2. Step 2: Convert to fraction form
    486.30/728.49 = 280.74/x
  3. Step 3: Cross multiply
    486.30x = 728.49 × 280.74
  4. Step 4: Simplify right side
    486.30x = 204,516.28
  5. Step 5: Solve for x
    x = 204,516.28/486.30
  6. Step 6: Final answer
    x = 420.56

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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.