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Finding the Fourth Proportional to 603.75, 833.19 and 327.75

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Solution

The fourth proportional to 603.75, 833.19 and 327.75 is: 452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.75 : 833.19 = 327.75 : x
  2. Step 2: Convert to fraction form
    603.75/833.19 = 327.75/x
  3. Step 3: Cross multiply
    603.75x = 833.19 × 327.75
  4. Step 4: Simplify right side
    603.75x = 273,078.02
  5. Step 5: Solve for x
    x = 273,078.02/603.75
  6. Step 6: Final answer
    x = 452.30

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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.