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Finding the Fourth Proportional to 311.32, 464.68 and 281.98

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Solution

The fourth proportional to 311.32, 464.68 and 281.98 is: 420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.32 : 464.68 = 281.98 : x
  2. Step 2: Convert to fraction form
    311.32/464.68 = 281.98/x
  3. Step 3: Cross multiply
    311.32x = 464.68 × 281.98
  4. Step 4: Simplify right side
    311.32x = 131,030.47
  5. Step 5: Solve for x
    x = 131,030.47/311.32
  6. Step 6: Final answer
    x = 420.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.