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Finding the Fourth Proportional to 550.56, 759.70 and 311.28

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Solution

The fourth proportional to 550.56, 759.70 and 311.28 is: 429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.56 : 759.70 = 311.28 : x
  2. Step 2: Convert to fraction form
    550.56/759.70 = 311.28/x
  3. Step 3: Cross multiply
    550.56x = 759.70 × 311.28
  4. Step 4: Simplify right side
    550.56x = 236,479.42
  5. Step 5: Solve for x
    x = 236,479.42/550.56
  6. Step 6: Final answer
    x = 429.53

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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.