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Finding the Fourth Proportional to 649.38, 973.86 and 238.56

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Solution

The fourth proportional to 649.38, 973.86 and 238.56 is: 357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.38 : 973.86 = 238.56 : x
  2. Step 2: Convert to fraction form
    649.38/973.86 = 238.56/x
  3. Step 3: Cross multiply
    649.38x = 973.86 × 238.56
  4. Step 4: Simplify right side
    649.38x = 232,324.04
  5. Step 5: Solve for x
    x = 232,324.04/649.38
  6. Step 6: Final answer
    x = 357.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.