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Finding the Fourth Proportional to 443.22, 611.61 and 268.53

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Solution

The fourth proportional to 443.22, 611.61 and 268.53 is: 370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.22 : 611.61 = 268.53 : x
  2. Step 2: Convert to fraction form
    443.22/611.61 = 268.53/x
  3. Step 3: Cross multiply
    443.22x = 611.61 × 268.53
  4. Step 4: Simplify right side
    443.22x = 164,235.63
  5. Step 5: Solve for x
    x = 164,235.63/443.22
  6. Step 6: Final answer
    x = 370.55

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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.