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Finding the Fourth Proportional to 444.50, 613.46 and 257.95

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Solution

The fourth proportional to 444.50, 613.46 and 257.95 is: 356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.50 : 613.46 = 257.95 : x
  2. Step 2: Convert to fraction form
    444.50/613.46 = 257.95/x
  3. Step 3: Cross multiply
    444.50x = 613.46 × 257.95
  4. Step 4: Simplify right side
    444.50x = 158,245.01
  5. Step 5: Solve for x
    x = 158,245.01/444.50
  6. Step 6: Final answer
    x = 356.01

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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.