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Finding the Fourth Proportional to 673.63, 1,010.74 and 241.09

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Solution

The fourth proportional to 673.63, 1,010.74 and 241.09 is: 361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.63 : 1,010.74 = 241.09 : x
  2. Step 2: Convert to fraction form
    673.63/1,010.74 = 241.09/x
  3. Step 3: Cross multiply
    673.63x = 1,010.74 × 241.09
  4. Step 4: Simplify right side
    673.63x = 243,679.31
  5. Step 5: Solve for x
    x = 243,679.31/673.63
  6. Step 6: Final answer
    x = 361.74

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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.