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Finding the Fourth Proportional to 443.66, 612.31 and 319.73

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Solution

The fourth proportional to 443.66, 612.31 and 319.73 is: 441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.66 : 612.31 = 319.73 : x
  2. Step 2: Convert to fraction form
    443.66/612.31 = 319.73/x
  3. Step 3: Cross multiply
    443.66x = 612.31 × 319.73
  4. Step 4: Simplify right side
    443.66x = 195,776.21
  5. Step 5: Solve for x
    x = 195,776.21/443.66
  6. Step 6: Final answer
    x = 441.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.