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Finding the Fourth Proportional to 673.96, 929.82 and 441.40

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Solution

The fourth proportional to 673.96, 929.82 and 441.40 is: 608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.96 : 929.82 = 441.40 : x
  2. Step 2: Convert to fraction form
    673.96/929.82 = 441.40/x
  3. Step 3: Cross multiply
    673.96x = 929.82 × 441.40
  4. Step 4: Simplify right side
    673.96x = 410,422.55
  5. Step 5: Solve for x
    x = 410,422.55/673.96
  6. Step 6: Final answer
    x = 608.97

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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.