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Finding the Fourth Proportional to 448.45, 672.77 and 174.56

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Solution

The fourth proportional to 448.45, 672.77 and 174.56 is: 261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.45 : 672.77 = 174.56 : x
  2. Step 2: Convert to fraction form
    448.45/672.77 = 174.56/x
  3. Step 3: Cross multiply
    448.45x = 672.77 × 174.56
  4. Step 4: Simplify right side
    448.45x = 117,439.32
  5. Step 5: Solve for x
    x = 117,439.32/448.45
  6. Step 6: Final answer
    x = 261.88

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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.