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Finding the Fourth Proportional to 645.27, 965.91 and 498.65

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Solution

The fourth proportional to 645.27, 965.91 and 498.65 is: 746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.27 : 965.91 = 498.65 : x
  2. Step 2: Convert to fraction form
    645.27/965.91 = 498.65/x
  3. Step 3: Cross multiply
    645.27x = 965.91 × 498.65
  4. Step 4: Simplify right side
    645.27x = 481,651.02
  5. Step 5: Solve for x
    x = 481,651.02/645.27
  6. Step 6: Final answer
    x = 746.43

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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.