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Finding the Fourth Proportional to 550.24, 759.12 and 342.88

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Solution

The fourth proportional to 550.24, 759.12 and 342.88 is: 473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.24 : 759.12 = 342.88 : x
  2. Step 2: Convert to fraction form
    550.24/759.12 = 342.88/x
  3. Step 3: Cross multiply
    550.24x = 759.12 × 342.88
  4. Step 4: Simplify right side
    550.24x = 260,287.07
  5. Step 5: Solve for x
    x = 260,287.07/550.24
  6. Step 6: Final answer
    x = 473.04

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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.