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Finding the Fourth Proportional to 474.06, 654.46 and 327.48

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Solution

The fourth proportional to 474.06, 654.46 and 327.48 is: 452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.06 : 654.46 = 327.48 : x
  2. Step 2: Convert to fraction form
    474.06/654.46 = 327.48/x
  3. Step 3: Cross multiply
    474.06x = 654.46 × 327.48
  4. Step 4: Simplify right side
    474.06x = 214,321.74
  5. Step 5: Solve for x
    x = 214,321.74/474.06
  6. Step 6: Final answer
    x = 452.10

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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.