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Finding the Fourth Proportional to 443.97, 612.63 and 257.45

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Solution

The fourth proportional to 443.97, 612.63 and 257.45 is: 355.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.97 : 612.63 = 257.45 : x
  2. Step 2: Convert to fraction form
    443.97/612.63 = 257.45/x
  3. Step 3: Cross multiply
    443.97x = 612.63 × 257.45
  4. Step 4: Simplify right side
    443.97x = 157,723.13
  5. Step 5: Solve for x
    x = 157,723.13/443.97
  6. Step 6: Final answer
    x = 355.26

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Why These Related Problems?

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