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Finding the Fourth Proportional to 496.64, 745.09 and 350.68

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Solution

The fourth proportional to 496.64, 745.09 and 350.68 is: 526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.64 : 745.09 = 350.68 : x
  2. Step 2: Convert to fraction form
    496.64/745.09 = 350.68/x
  3. Step 3: Cross multiply
    496.64x = 745.09 × 350.68
  4. Step 4: Simplify right side
    496.64x = 261,288.80
  5. Step 5: Solve for x
    x = 261,288.80/496.64
  6. Step 6: Final answer
    x = 526.11

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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.