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Finding the Fourth Proportional to 649.28, 973.38 and 238.18

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Solution

The fourth proportional to 649.28, 973.38 and 238.18 is: 357.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.28 : 973.38 = 238.18 : x
  2. Step 2: Convert to fraction form
    649.28/973.38 = 238.18/x
  3. Step 3: Cross multiply
    649.28x = 973.38 × 238.18
  4. Step 4: Simplify right side
    649.28x = 231,839.65
  5. Step 5: Solve for x
    x = 231,839.65/649.28
  6. Step 6: Final answer
    x = 357.07

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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.