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Finding the Fourth Proportional to 444.57, 613.61 and 269.88

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Solution

The fourth proportional to 444.57, 613.61 and 269.88 is: 372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.57 : 613.61 = 269.88 : x
  2. Step 2: Convert to fraction form
    444.57/613.61 = 269.88/x
  3. Step 3: Cross multiply
    444.57x = 613.61 × 269.88
  4. Step 4: Simplify right side
    444.57x = 165,601.07
  5. Step 5: Solve for x
    x = 165,601.07/444.57
  6. Step 6: Final answer
    x = 372.50

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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.