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Finding the Fourth Proportional to 442.54, 610.77 and 267.94

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Solution

The fourth proportional to 442.54, 610.77 and 267.94 is: 369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.54 : 610.77 = 267.94 : x
  2. Step 2: Convert to fraction form
    442.54/610.77 = 267.94/x
  3. Step 3: Cross multiply
    442.54x = 610.77 × 267.94
  4. Step 4: Simplify right side
    442.54x = 163,649.71
  5. Step 5: Solve for x
    x = 163,649.71/442.54
  6. Step 6: Final answer
    x = 369.80

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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.