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Finding the Fourth Proportional to 550.47, 759.66 and 329.43

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Solution

The fourth proportional to 550.47, 759.66 and 329.43 is: 454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.47 : 759.66 = 329.43 : x
  2. Step 2: Convert to fraction form
    550.47/759.66 = 329.43/x
  3. Step 3: Cross multiply
    550.47x = 759.66 × 329.43
  4. Step 4: Simplify right side
    550.47x = 250,254.79
  5. Step 5: Solve for x
    x = 250,254.79/550.47
  6. Step 6: Final answer
    x = 454.62

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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.