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Finding the Fourth Proportional to 444.23, 612.97 and 257.74

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Solution

The fourth proportional to 444.23, 612.97 and 257.74 is: 355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.23 : 612.97 = 257.74 : x
  2. Step 2: Convert to fraction form
    444.23/612.97 = 257.74/x
  3. Step 3: Cross multiply
    444.23x = 612.97 × 257.74
  4. Step 4: Simplify right side
    444.23x = 157,986.89
  5. Step 5: Solve for x
    x = 157,986.89/444.23
  6. Step 6: Final answer
    x = 355.64

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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.