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Finding the Fourth Proportional to 649.80, 975.20 and 239.33

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Solution

The fourth proportional to 649.80, 975.20 and 239.33 is: 359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.80 : 975.20 = 239.33 : x
  2. Step 2: Convert to fraction form
    649.80/975.20 = 239.33/x
  3. Step 3: Cross multiply
    649.80x = 975.20 × 239.33
  4. Step 4: Simplify right side
    649.80x = 233,388.54
  5. Step 5: Solve for x
    x = 233,388.54/649.80
  6. Step 6: Final answer
    x = 359.17

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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.