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Finding the Fourth Proportional to 311.56, 469.30 and 239.92

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Solution

The fourth proportional to 311.56, 469.30 and 239.92 is: 361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.56 : 469.30 = 239.92 : x
  2. Step 2: Convert to fraction form
    311.56/469.30 = 239.92/x
  3. Step 3: Cross multiply
    311.56x = 469.30 × 239.92
  4. Step 4: Simplify right side
    311.56x = 112,594.46
  5. Step 5: Solve for x
    x = 112,594.46/311.56
  6. Step 6: Final answer
    x = 361.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.