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Finding the Fourth Proportional to 547.73, 755.84 and 311.74

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Solution

The fourth proportional to 547.73, 755.84 and 311.74 is: 430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.73 : 755.84 = 311.74 : x
  2. Step 2: Convert to fraction form
    547.73/755.84 = 311.74/x
  3. Step 3: Cross multiply
    547.73x = 755.84 × 311.74
  4. Step 4: Simplify right side
    547.73x = 235,624.45
  5. Step 5: Solve for x
    x = 235,624.45/547.73
  6. Step 6: Final answer
    x = 430.18

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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.