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Finding the Fourth Proportional to 485.91, 727.92 and 280.17

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Solution

The fourth proportional to 485.91, 727.92 and 280.17 is: 419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.91 : 727.92 = 280.17 : x
  2. Step 2: Convert to fraction form
    485.91/727.92 = 280.17/x
  3. Step 3: Cross multiply
    485.91x = 727.92 × 280.17
  4. Step 4: Simplify right side
    485.91x = 203,941.35
  5. Step 5: Solve for x
    x = 203,941.35/485.91
  6. Step 6: Final answer
    x = 419.71

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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.