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Finding the Fourth Proportional to 476.73, 657.57 and 327.15

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Solution

The fourth proportional to 476.73, 657.57 and 327.15 is: 451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.73 : 657.57 = 327.15 : x
  2. Step 2: Convert to fraction form
    476.73/657.57 = 327.15/x
  3. Step 3: Cross multiply
    476.73x = 657.57 × 327.15
  4. Step 4: Simplify right side
    476.73x = 215,124.03
  5. Step 5: Solve for x
    x = 215,124.03/476.73
  6. Step 6: Final answer
    x = 451.25

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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.