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Finding the Fourth Proportional to 444.14, 612.86 and 257.63

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Solution

The fourth proportional to 444.14, 612.86 and 257.63 is: 355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.14 : 612.86 = 257.63 : x
  2. Step 2: Convert to fraction form
    444.14/612.86 = 257.63/x
  3. Step 3: Cross multiply
    444.14x = 612.86 × 257.63
  4. Step 4: Simplify right side
    444.14x = 157,891.12
  5. Step 5: Solve for x
    x = 157,891.12/444.14
  6. Step 6: Final answer
    x = 355.50

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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.