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Finding the Fourth Proportional to 448.72, 673.49 and 232.45

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Solution

The fourth proportional to 448.72, 673.49 and 232.45 is: 348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.72 : 673.49 = 232.45 : x
  2. Step 2: Convert to fraction form
    448.72/673.49 = 232.45/x
  3. Step 3: Cross multiply
    448.72x = 673.49 × 232.45
  4. Step 4: Simplify right side
    448.72x = 156,548.22
  5. Step 5: Solve for x
    x = 156,548.22/448.72
  6. Step 6: Final answer
    x = 348.88

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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.