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Finding the Fourth Proportional to 649.69, 974.73 and 303.23

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Solution

The fourth proportional to 649.69, 974.73 and 303.23 is: 454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.69 : 974.73 = 303.23 : x
  2. Step 2: Convert to fraction form
    649.69/974.73 = 303.23/x
  3. Step 3: Cross multiply
    649.69x = 974.73 × 303.23
  4. Step 4: Simplify right side
    649.69x = 295,567.38
  5. Step 5: Solve for x
    x = 295,567.38/649.69
  6. Step 6: Final answer
    x = 454.94

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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.