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Finding the Fourth Proportional to 858.85, 1,288.96 and 311.19

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Solution

The fourth proportional to 858.85, 1,288.96 and 311.19 is: 467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.85 : 1,288.96 = 311.19 : x
  2. Step 2: Convert to fraction form
    858.85/1,288.96 = 311.19/x
  3. Step 3: Cross multiply
    858.85x = 1,288.96 × 311.19
  4. Step 4: Simplify right side
    858.85x = 401,114.85
  5. Step 5: Solve for x
    x = 401,114.85/858.85
  6. Step 6: Final answer
    x = 467.04

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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.