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Finding the Fourth Proportional to 443.90, 612.52 and 257.41

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Solution

The fourth proportional to 443.90, 612.52 and 257.41 is: 355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.90 : 612.52 = 257.41 : x
  2. Step 2: Convert to fraction form
    443.90/612.52 = 257.41/x
  3. Step 3: Cross multiply
    443.90x = 612.52 × 257.41
  4. Step 4: Simplify right side
    443.90x = 157,665.71
  5. Step 5: Solve for x
    x = 157,665.71/443.90
  6. Step 6: Final answer
    x = 355.18

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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.