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Finding the Fourth Proportional to 311.94, 430.17 and 210.81

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Solution

The fourth proportional to 311.94, 430.17 and 210.81 is: 290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.94 : 430.17 = 210.81 : x
  2. Step 2: Convert to fraction form
    311.94/430.17 = 210.81/x
  3. Step 3: Cross multiply
    311.94x = 430.17 × 210.81
  4. Step 4: Simplify right side
    311.94x = 90,684.14
  5. Step 5: Solve for x
    x = 90,684.14/311.94
  6. Step 6: Final answer
    x = 290.71

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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.