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Finding the Fourth Proportional to 673.31, 1,010.90 and 344.48

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Solution

The fourth proportional to 673.31, 1,010.90 and 344.48 is: 517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.31 : 1,010.90 = 344.48 : x
  2. Step 2: Convert to fraction form
    673.31/1,010.90 = 344.48/x
  3. Step 3: Cross multiply
    673.31x = 1,010.90 × 344.48
  4. Step 4: Simplify right side
    673.31x = 348,236.25
  5. Step 5: Solve for x
    x = 348,236.25/673.31
  6. Step 6: Final answer
    x = 517.20

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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.