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Finding the Fourth Proportional to 550.74, 759.98 and 329.71

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Solution

The fourth proportional to 550.74, 759.98 and 329.71 is: 454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.74 : 759.98 = 329.71 : x
  2. Step 2: Convert to fraction form
    550.74/759.98 = 329.71/x
  3. Step 3: Cross multiply
    550.74x = 759.98 × 329.71
  4. Step 4: Simplify right side
    550.74x = 250,573.01
  5. Step 5: Solve for x
    x = 250,573.01/550.74
  6. Step 6: Final answer
    x = 454.98

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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.