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Finding the Fourth Proportional to 455.82, 629.01 and 259.31

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Solution

The fourth proportional to 455.82, 629.01 and 259.31 is: 357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.82 : 629.01 = 259.31 : x
  2. Step 2: Convert to fraction form
    455.82/629.01 = 259.31/x
  3. Step 3: Cross multiply
    455.82x = 629.01 × 259.31
  4. Step 4: Simplify right side
    455.82x = 163,105.44
  5. Step 5: Solve for x
    x = 163,105.44/455.82
  6. Step 6: Final answer
    x = 357.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.