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Finding the Fourth Proportional to 547.10, 755.52 and 350.96

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Solution

The fourth proportional to 547.10, 755.52 and 350.96 is: 484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.10 : 755.52 = 350.96 : x
  2. Step 2: Convert to fraction form
    547.10/755.52 = 350.96/x
  3. Step 3: Cross multiply
    547.10x = 755.52 × 350.96
  4. Step 4: Simplify right side
    547.10x = 265,157.30
  5. Step 5: Solve for x
    x = 265,157.30/547.10
  6. Step 6: Final answer
    x = 484.66

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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.