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Finding the Fourth Proportional to 455.96, 629.09 and 259.44

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Solution

The fourth proportional to 455.96, 629.09 and 259.44 is: 357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.96 : 629.09 = 259.44 : x
  2. Step 2: Convert to fraction form
    455.96/629.09 = 259.44/x
  3. Step 3: Cross multiply
    455.96x = 629.09 × 259.44
  4. Step 4: Simplify right side
    455.96x = 163,209.81
  5. Step 5: Solve for x
    x = 163,209.81/455.96
  6. Step 6: Final answer
    x = 357.95

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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.