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Finding the Fourth Proportional to 444.20, 613.00 and 257.70

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Solution

The fourth proportional to 444.20, 613.00 and 257.70 is: 355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.20 : 613.00 = 257.70 : x
  2. Step 2: Convert to fraction form
    444.20/613.00 = 257.70/x
  3. Step 3: Cross multiply
    444.20x = 613.00 × 257.70
  4. Step 4: Simplify right side
    444.20x = 157,969.46
  5. Step 5: Solve for x
    x = 157,969.46/444.20
  6. Step 6: Final answer
    x = 355.63

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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.