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Finding the Fourth Proportional to 547.50, 755.36 and 311.42

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Solution

The fourth proportional to 547.50, 755.36 and 311.42 is: 429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.50 : 755.36 = 311.42 : x
  2. Step 2: Convert to fraction form
    547.50/755.36 = 311.42/x
  3. Step 3: Cross multiply
    547.50x = 755.36 × 311.42
  4. Step 4: Simplify right side
    547.50x = 235,234.21
  5. Step 5: Solve for x
    x = 235,234.21/547.50
  6. Step 6: Final answer
    x = 429.65

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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.