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Finding the Fourth Proportional to 474.65, 654.71 and 327.03

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Solution

The fourth proportional to 474.65, 654.71 and 327.03 is: 451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.65 : 654.71 = 327.03 : x
  2. Step 2: Convert to fraction form
    474.65/654.71 = 327.03/x
  3. Step 3: Cross multiply
    474.65x = 654.71 × 327.03
  4. Step 4: Simplify right side
    474.65x = 214,106.54
  5. Step 5: Solve for x
    x = 214,106.54/474.65
  6. Step 6: Final answer
    x = 451.08

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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.