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Finding the Fourth Proportional to 546.64, 755.04 and 397.03

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Solution

The fourth proportional to 546.64, 755.04 and 397.03 is: 548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.64 : 755.04 = 397.03 : x
  2. Step 2: Convert to fraction form
    546.64/755.04 = 397.03/x
  3. Step 3: Cross multiply
    546.64x = 755.04 × 397.03
  4. Step 4: Simplify right side
    546.64x = 299,771.64
  5. Step 5: Solve for x
    x = 299,771.64/546.64
  6. Step 6: Final answer
    x = 548.39

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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.