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Finding the Fourth Proportional to 447.64, 668.11 and 395.75

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Solution

The fourth proportional to 447.64, 668.11 and 395.75 is: 590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.64 : 668.11 = 395.75 : x
  2. Step 2: Convert to fraction form
    447.64/668.11 = 395.75/x
  3. Step 3: Cross multiply
    447.64x = 668.11 × 395.75
  4. Step 4: Simplify right side
    447.64x = 264,404.53
  5. Step 5: Solve for x
    x = 264,404.53/447.64
  6. Step 6: Final answer
    x = 590.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.