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Finding the Fourth Proportional to 474.64, 654.72 and 327.26

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Solution

The fourth proportional to 474.64, 654.72 and 327.26 is: 451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.64 : 654.72 = 327.26 : x
  2. Step 2: Convert to fraction form
    474.64/654.72 = 327.26/x
  3. Step 3: Cross multiply
    474.64x = 654.72 × 327.26
  4. Step 4: Simplify right side
    474.64x = 214,263.67
  5. Step 5: Solve for x
    x = 214,263.67/474.64
  6. Step 6: Final answer
    x = 451.42

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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.