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Finding the Fourth Proportional to 454.08, 625.80 and 323.04

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Solution

The fourth proportional to 454.08, 625.80 and 323.04 is: 445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.08 : 625.80 = 323.04 : x
  2. Step 2: Convert to fraction form
    454.08/625.80 = 323.04/x
  3. Step 3: Cross multiply
    454.08x = 625.80 × 323.04
  4. Step 4: Simplify right side
    454.08x = 202,158.43
  5. Step 5: Solve for x
    x = 202,158.43/454.08
  6. Step 6: Final answer
    x = 445.20

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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.