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Finding the Fourth Proportional to 649.32, 974.43 and 238.44

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Solution

The fourth proportional to 649.32, 974.43 and 238.44 is: 357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.32 : 974.43 = 238.44 : x
  2. Step 2: Convert to fraction form
    649.32/974.43 = 238.44/x
  3. Step 3: Cross multiply
    649.32x = 974.43 × 238.44
  4. Step 4: Simplify right side
    649.32x = 232,346.74
  5. Step 5: Solve for x
    x = 232,346.74/649.32
  6. Step 6: Final answer
    x = 357.83

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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.