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Finding the Fourth Proportional to 455.82, 629.29 and 300.84

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Solution

The fourth proportional to 455.82, 629.29 and 300.84 is: 415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.82 : 629.29 = 300.84 : x
  2. Step 2: Convert to fraction form
    455.82/629.29 = 300.84/x
  3. Step 3: Cross multiply
    455.82x = 629.29 × 300.84
  4. Step 4: Simplify right side
    455.82x = 189,315.60
  5. Step 5: Solve for x
    x = 189,315.60/455.82
  6. Step 6: Final answer
    x = 415.33

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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.