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Finding the Fourth Proportional to 547.34, 755.64 and 422.73

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Solution

The fourth proportional to 547.34, 755.64 and 422.73 is: 583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.34 : 755.64 = 422.73 : x
  2. Step 2: Convert to fraction form
    547.34/755.64 = 422.73/x
  3. Step 3: Cross multiply
    547.34x = 755.64 × 422.73
  4. Step 4: Simplify right side
    547.34x = 319,431.70
  5. Step 5: Solve for x
    x = 319,431.70/547.34
  6. Step 6: Final answer
    x = 583.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.