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Finding the Fourth Proportional to 297.71, 448.17 and 267.94

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Solution

The fourth proportional to 297.71, 448.17 and 267.94 is: 403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.71 : 448.17 = 267.94 : x
  2. Step 2: Convert to fraction form
    297.71/448.17 = 267.94/x
  3. Step 3: Cross multiply
    297.71x = 448.17 × 267.94
  4. Step 4: Simplify right side
    297.71x = 120,082.67
  5. Step 5: Solve for x
    x = 120,082.67/297.71
  6. Step 6: Final answer
    x = 403.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.