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Finding the Fourth Proportional to 311.15, 464.15 and 289.04

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Solution

The fourth proportional to 311.15, 464.15 and 289.04 is: 431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.15 : 464.15 = 289.04 : x
  2. Step 2: Convert to fraction form
    311.15/464.15 = 289.04/x
  3. Step 3: Cross multiply
    311.15x = 464.15 × 289.04
  4. Step 4: Simplify right side
    311.15x = 134,157.92
  5. Step 5: Solve for x
    x = 134,157.92/311.15
  6. Step 6: Final answer
    x = 431.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.