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Finding the Fourth Proportional to 450.46, 675.87 and 231.15

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Solution

The fourth proportional to 450.46, 675.87 and 231.15 is: 346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.46 : 675.87 = 231.15 : x
  2. Step 2: Convert to fraction form
    450.46/675.87 = 231.15/x
  3. Step 3: Cross multiply
    450.46x = 675.87 × 231.15
  4. Step 4: Simplify right side
    450.46x = 156,227.35
  5. Step 5: Solve for x
    x = 156,227.35/450.46
  6. Step 6: Final answer
    x = 346.82

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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.