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Finding the Fourth Proportional to 442.67, 610.79 and 267.98

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Solution

The fourth proportional to 442.67, 610.79 and 267.98 is: 369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.67 : 610.79 = 267.98 : x
  2. Step 2: Convert to fraction form
    442.67/610.79 = 267.98/x
  3. Step 3: Cross multiply
    442.67x = 610.79 × 267.98
  4. Step 4: Simplify right side
    442.67x = 163,675.11
  5. Step 5: Solve for x
    x = 163,675.11/442.67
  6. Step 6: Final answer
    x = 369.75

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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.