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Finding the Fourth Proportional to 494.28, 740.94 and 311.88

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Solution

The fourth proportional to 494.28, 740.94 and 311.88 is: 467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.28 : 740.94 = 311.88 : x
  2. Step 2: Convert to fraction form
    494.28/740.94 = 311.88/x
  3. Step 3: Cross multiply
    494.28x = 740.94 × 311.88
  4. Step 4: Simplify right side
    494.28x = 231,084.37
  5. Step 5: Solve for x
    x = 231,084.37/494.28
  6. Step 6: Final answer
    x = 467.52

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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.