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Finding the Fourth Proportional to 442.80, 610.76 and 267.92

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Solution

The fourth proportional to 442.80, 610.76 and 267.92 is: 369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.80 : 610.76 = 267.92 : x
  2. Step 2: Convert to fraction form
    442.80/610.76 = 267.92/x
  3. Step 3: Cross multiply
    442.80x = 610.76 × 267.92
  4. Step 4: Simplify right side
    442.80x = 163,634.82
  5. Step 5: Solve for x
    x = 163,634.82/442.80
  6. Step 6: Final answer
    x = 369.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.