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Finding the Fourth Proportional to 673.24, 1,011.76 and 399.38

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Solution

The fourth proportional to 673.24, 1,011.76 and 399.38 is: 600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.24 : 1,011.76 = 399.38 : x
  2. Step 2: Convert to fraction form
    673.24/1,011.76 = 399.38/x
  3. Step 3: Cross multiply
    673.24x = 1,011.76 × 399.38
  4. Step 4: Simplify right side
    673.24x = 404,076.71
  5. Step 5: Solve for x
    x = 404,076.71/673.24
  6. Step 6: Final answer
    x = 600.20

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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.