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Finding the Fourth Proportional to 477.92, 716.69 and 185.27

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Solution

The fourth proportional to 477.92, 716.69 and 185.27 is: 277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.92 : 716.69 = 185.27 : x
  2. Step 2: Convert to fraction form
    477.92/716.69 = 185.27/x
  3. Step 3: Cross multiply
    477.92x = 716.69 × 185.27
  4. Step 4: Simplify right side
    477.92x = 132,778.04
  5. Step 5: Solve for x
    x = 132,778.04/477.92
  6. Step 6: Final answer
    x = 277.82

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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.