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Finding the Fourth Proportional to 496.90, 744.40 and 308.98

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Solution

The fourth proportional to 496.90, 744.40 and 308.98 is: 462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.90 : 744.40 = 308.98 : x
  2. Step 2: Convert to fraction form
    496.90/744.40 = 308.98/x
  3. Step 3: Cross multiply
    496.90x = 744.40 × 308.98
  4. Step 4: Simplify right side
    496.90x = 230,004.71
  5. Step 5: Solve for x
    x = 230,004.71/496.90
  6. Step 6: Final answer
    x = 462.88

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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.