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Finding the Fourth Proportional to 547.51, 755.31 and 396.22

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Solution

The fourth proportional to 547.51, 755.31 and 396.22 is: 546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.51 : 755.31 = 396.22 : x
  2. Step 2: Convert to fraction form
    547.51/755.31 = 396.22/x
  3. Step 3: Cross multiply
    547.51x = 755.31 × 396.22
  4. Step 4: Simplify right side
    547.51x = 299,268.93
  5. Step 5: Solve for x
    x = 299,268.93/547.51
  6. Step 6: Final answer
    x = 546.60

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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.