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Finding the Fourth Proportional to 295.74, 406.85 and 267.80

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Solution

The fourth proportional to 295.74, 406.85 and 267.80 is: 368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.74 : 406.85 = 267.80 : x
  2. Step 2: Convert to fraction form
    295.74/406.85 = 267.80/x
  3. Step 3: Cross multiply
    295.74x = 406.85 × 267.80
  4. Step 4: Simplify right side
    295.74x = 108,954.43
  5. Step 5: Solve for x
    x = 108,954.43/295.74
  6. Step 6: Final answer
    x = 368.41

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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.