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Finding the Fourth Proportional to 547.38, 755.36 and 311.30

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Solution

The fourth proportional to 547.38, 755.36 and 311.30 is: 429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.38 : 755.36 = 311.30 : x
  2. Step 2: Convert to fraction form
    547.38/755.36 = 311.30/x
  3. Step 3: Cross multiply
    547.38x = 755.36 × 311.30
  4. Step 4: Simplify right side
    547.38x = 235,138.23
  5. Step 5: Solve for x
    x = 235,138.23/547.38
  6. Step 6: Final answer
    x = 429.57

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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.