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Finding the Fourth Proportional to 311.88, 430.20 and 238.04

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Solution

The fourth proportional to 311.88, 430.20 and 238.04 is: 328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.88 : 430.20 = 238.04 : x
  2. Step 2: Convert to fraction form
    311.88/430.20 = 238.04/x
  3. Step 3: Cross multiply
    311.88x = 430.20 × 238.04
  4. Step 4: Simplify right side
    311.88x = 102,404.81
  5. Step 5: Solve for x
    x = 102,404.81/311.88
  6. Step 6: Final answer
    x = 328.35

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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.