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Finding the Fourth Proportional to 550.28, 759.70 and 340.54

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Solution

The fourth proportional to 550.28, 759.70 and 340.54 is: 470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.28 : 759.70 = 340.54 : x
  2. Step 2: Convert to fraction form
    550.28/759.70 = 340.54/x
  3. Step 3: Cross multiply
    550.28x = 759.70 × 340.54
  4. Step 4: Simplify right side
    550.28x = 258,708.24
  5. Step 5: Solve for x
    x = 258,708.24/550.28
  6. Step 6: Final answer
    x = 470.14

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Why These Related Problems?

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