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Finding the Fourth Proportional to 443.72, 612.33 and 257.21

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Solution

The fourth proportional to 443.72, 612.33 and 257.21 is: 354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.72 : 612.33 = 257.21 : x
  2. Step 2: Convert to fraction form
    443.72/612.33 = 257.21/x
  3. Step 3: Cross multiply
    443.72x = 612.33 × 257.21
  4. Step 4: Simplify right side
    443.72x = 157,497.40
  5. Step 5: Solve for x
    x = 157,497.40/443.72
  6. Step 6: Final answer
    x = 354.95

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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.