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Finding the Fourth Proportional to 447.42, 670.41 and 264.60

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Solution

The fourth proportional to 447.42, 670.41 and 264.60 is: 396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.42 : 670.41 = 264.60 : x
  2. Step 2: Convert to fraction form
    447.42/670.41 = 264.60/x
  3. Step 3: Cross multiply
    447.42x = 670.41 × 264.60
  4. Step 4: Simplify right side
    447.42x = 177,390.49
  5. Step 5: Solve for x
    x = 177,390.49/447.42
  6. Step 6: Final answer
    x = 396.47

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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.