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Finding the Fourth Proportional to 443.54, 611.94 and 268.82

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Solution

The fourth proportional to 443.54, 611.94 and 268.82 is: 370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.54 : 611.94 = 268.82 : x
  2. Step 2: Convert to fraction form
    443.54/611.94 = 268.82/x
  3. Step 3: Cross multiply
    443.54x = 611.94 × 268.82
  4. Step 4: Simplify right side
    443.54x = 164,501.71
  5. Step 5: Solve for x
    x = 164,501.71/443.54
  6. Step 6: Final answer
    x = 370.88

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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.