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Finding the Fourth Proportional to 455.89, 629.41 and 427.97

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Solution

The fourth proportional to 455.89, 629.41 and 427.97 is: 590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.89 : 629.41 = 427.97 : x
  2. Step 2: Convert to fraction form
    455.89/629.41 = 427.97/x
  3. Step 3: Cross multiply
    455.89x = 629.41 × 427.97
  4. Step 4: Simplify right side
    455.89x = 269,368.60
  5. Step 5: Solve for x
    x = 269,368.60/455.89
  6. Step 6: Final answer
    x = 590.86

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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.