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Finding the Fourth Proportional to 483.44, 725.20 and 277.61

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Solution

The fourth proportional to 483.44, 725.20 and 277.61 is: 416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.44 : 725.20 = 277.61 : x
  2. Step 2: Convert to fraction form
    483.44/725.20 = 277.61/x
  3. Step 3: Cross multiply
    483.44x = 725.20 × 277.61
  4. Step 4: Simplify right side
    483.44x = 201,318.45
  5. Step 5: Solve for x
    x = 201,318.45/483.44
  6. Step 6: Final answer
    x = 416.43

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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.