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Finding the Fourth Proportional to 547.80, 756.07 and 311.85

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Solution

The fourth proportional to 547.80, 756.07 and 311.85 is: 430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.80 : 756.07 = 311.85 : x
  2. Step 2: Convert to fraction form
    547.80/756.07 = 311.85/x
  3. Step 3: Cross multiply
    547.80x = 756.07 × 311.85
  4. Step 4: Simplify right side
    547.80x = 235,780.43
  5. Step 5: Solve for x
    x = 235,780.43/547.80
  6. Step 6: Final answer
    x = 430.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.