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Finding the Fourth Proportional to 673.28, 929.12 and 463.68

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Solution

The fourth proportional to 673.28, 929.12 and 463.68 is: 639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.28 : 929.12 = 463.68 : x
  2. Step 2: Convert to fraction form
    673.28/929.12 = 463.68/x
  3. Step 3: Cross multiply
    673.28x = 929.12 × 463.68
  4. Step 4: Simplify right side
    673.28x = 430,814.36
  5. Step 5: Solve for x
    x = 430,814.36/673.28
  6. Step 6: Final answer
    x = 639.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.