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Finding the Fourth Proportional to 316.26, 472.14 and 267.66

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Solution

The fourth proportional to 316.26, 472.14 and 267.66 is: 399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.26 : 472.14 = 267.66 : x
  2. Step 2: Convert to fraction form
    316.26/472.14 = 267.66/x
  3. Step 3: Cross multiply
    316.26x = 472.14 × 267.66
  4. Step 4: Simplify right side
    316.26x = 126,372.99
  5. Step 5: Solve for x
    x = 126,372.99/316.26
  6. Step 6: Final answer
    x = 399.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.