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Finding the Fourth Proportional to 476.49, 657.25 and 327.04

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Solution

The fourth proportional to 476.49, 657.25 and 327.04 is: 451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.49 : 657.25 = 327.04 : x
  2. Step 2: Convert to fraction form
    476.49/657.25 = 327.04/x
  3. Step 3: Cross multiply
    476.49x = 657.25 × 327.04
  4. Step 4: Simplify right side
    476.49x = 214,947.04
  5. Step 5: Solve for x
    x = 214,947.04/476.49
  6. Step 6: Final answer
    x = 451.11

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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.