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Finding the Fourth Proportional to 547.11, 755.06 and 459.63

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Solution

The fourth proportional to 547.11, 755.06 and 459.63 is: 634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.11 : 755.06 = 459.63 : x
  2. Step 2: Convert to fraction form
    547.11/755.06 = 459.63/x
  3. Step 3: Cross multiply
    547.11x = 755.06 × 459.63
  4. Step 4: Simplify right side
    547.11x = 347,045.93
  5. Step 5: Solve for x
    x = 347,045.93/547.11
  6. Step 6: Final answer
    x = 634.33

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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.