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Finding the Fourth Proportional to 455.73, 629.28 and 331.80

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Solution

The fourth proportional to 455.73, 629.28 and 331.80 is: 458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.73 : 629.28 = 331.80 : x
  2. Step 2: Convert to fraction form
    455.73/629.28 = 331.80/x
  3. Step 3: Cross multiply
    455.73x = 629.28 × 331.80
  4. Step 4: Simplify right side
    455.73x = 208,795.10
  5. Step 5: Solve for x
    x = 208,795.10/455.73
  6. Step 6: Final answer
    x = 458.16

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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.