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Finding the Fourth Proportional to 550.76, 759.28 and 533.76

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Solution

The fourth proportional to 550.76, 759.28 and 533.76 is: 735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.76 : 759.28 = 533.76 : x
  2. Step 2: Convert to fraction form
    550.76/759.28 = 533.76/x
  3. Step 3: Cross multiply
    550.76x = 759.28 × 533.76
  4. Step 4: Simplify right side
    550.76x = 405,273.29
  5. Step 5: Solve for x
    x = 405,273.29/550.76
  6. Step 6: Final answer
    x = 735.84

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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.