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Finding the Fourth Proportional to 311.56, 429.62 and 207.88

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Solution

The fourth proportional to 311.56, 429.62 and 207.88 is: 286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.56 : 429.62 = 207.88 : x
  2. Step 2: Convert to fraction form
    311.56/429.62 = 207.88/x
  3. Step 3: Cross multiply
    311.56x = 429.62 × 207.88
  4. Step 4: Simplify right side
    311.56x = 89,309.41
  5. Step 5: Solve for x
    x = 89,309.41/311.56
  6. Step 6: Final answer
    x = 286.65

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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.