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Finding the Fourth Proportional to 443.09, 611.46 and 268.44

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Solution

The fourth proportional to 443.09, 611.46 and 268.44 is: 370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.09 : 611.46 = 268.44 : x
  2. Step 2: Convert to fraction form
    443.09/611.46 = 268.44/x
  3. Step 3: Cross multiply
    443.09x = 611.46 × 268.44
  4. Step 4: Simplify right side
    443.09x = 164,140.32
  5. Step 5: Solve for x
    x = 164,140.32/443.09
  6. Step 6: Final answer
    x = 370.45

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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.