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Finding the Fourth Proportional to 444.29, 613.14 and 257.78

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Solution

The fourth proportional to 444.29, 613.14 and 257.78 is: 355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.29 : 613.14 = 257.78 : x
  2. Step 2: Convert to fraction form
    444.29/613.14 = 257.78/x
  3. Step 3: Cross multiply
    444.29x = 613.14 × 257.78
  4. Step 4: Simplify right side
    444.29x = 158,055.23
  5. Step 5: Solve for x
    x = 158,055.23/444.29
  6. Step 6: Final answer
    x = 355.75

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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.