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Finding the Fourth Proportional to 455.29, 682.85 and 130.59

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Solution

The fourth proportional to 455.29, 682.85 and 130.59 is: 195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.29 : 682.85 = 130.59 : x
  2. Step 2: Convert to fraction form
    455.29/682.85 = 130.59/x
  3. Step 3: Cross multiply
    455.29x = 682.85 × 130.59
  4. Step 4: Simplify right side
    455.29x = 89,171.02
  5. Step 5: Solve for x
    x = 89,171.02/455.29
  6. Step 6: Final answer
    x = 195.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.