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Finding the Fourth Proportional to 455.90, 629.37 and 323.24

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Solution

The fourth proportional to 455.90, 629.37 and 323.24 is: 446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.90 : 629.37 = 323.24 : x
  2. Step 2: Convert to fraction form
    455.90/629.37 = 323.24/x
  3. Step 3: Cross multiply
    455.90x = 629.37 × 323.24
  4. Step 4: Simplify right side
    455.90x = 203,434.41
  5. Step 5: Solve for x
    x = 203,434.41/455.90
  6. Step 6: Final answer
    x = 446.23

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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.