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Finding the Fourth Proportional to 547.23, 755.49 and 422.63

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Solution

The fourth proportional to 547.23, 755.49 and 422.63 is: 583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.23 : 755.49 = 422.63 : x
  2. Step 2: Convert to fraction form
    547.23/755.49 = 422.63/x
  3. Step 3: Cross multiply
    547.23x = 755.49 × 422.63
  4. Step 4: Simplify right side
    547.23x = 319,292.74
  5. Step 5: Solve for x
    x = 319,292.74/547.23
  6. Step 6: Final answer
    x = 583.47

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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.