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Finding the Fourth Proportional to 550.56, 759.84 and 317.68

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Solution

The fourth proportional to 550.56, 759.84 and 317.68 is: 438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.56 : 759.84 = 317.68 : x
  2. Step 2: Convert to fraction form
    550.56/759.84 = 317.68/x
  3. Step 3: Cross multiply
    550.56x = 759.84 × 317.68
  4. Step 4: Simplify right side
    550.56x = 241,385.97
  5. Step 5: Solve for x
    x = 241,385.97/550.56
  6. Step 6: Final answer
    x = 438.44

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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.