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Finding the Fourth Proportional to 421.12, 630.31 and 311.38

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Solution

The fourth proportional to 421.12, 630.31 and 311.38 is: 466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.12 : 630.31 = 311.38 : x
  2. Step 2: Convert to fraction form
    421.12/630.31 = 311.38/x
  3. Step 3: Cross multiply
    421.12x = 630.31 × 311.38
  4. Step 4: Simplify right side
    421.12x = 196,265.93
  5. Step 5: Solve for x
    x = 196,265.93/421.12
  6. Step 6: Final answer
    x = 466.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.