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Finding the Fourth Proportional to 311.91, 430.61 and 218.94

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Solution

The fourth proportional to 311.91, 430.61 and 218.94 is: 302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.91 : 430.61 = 218.94 : x
  2. Step 2: Convert to fraction form
    311.91/430.61 = 218.94/x
  3. Step 3: Cross multiply
    311.91x = 430.61 × 218.94
  4. Step 4: Simplify right side
    311.91x = 94,277.75
  5. Step 5: Solve for x
    x = 94,277.75/311.91
  6. Step 6: Final answer
    x = 302.26

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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.