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Finding the Fourth Proportional to 496.96, 746 and 352.80

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Solution

The fourth proportional to 496.96, 746 and 352.80 is: 529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.96 : 746 = 352.80 : x
  2. Step 2: Convert to fraction form
    496.96/746 = 352.80/x
  3. Step 3: Cross multiply
    496.96x = 746 × 352.80
  4. Step 4: Simplify right side
    496.96x = 263,188.80
  5. Step 5: Solve for x
    x = 263,188.80/496.96
  6. Step 6: Final answer
    x = 529.60

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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.