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Finding the Fourth Proportional to 267.84, 403.50 and 264.48

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Solution

The fourth proportional to 267.84, 403.50 and 264.48 is: 398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.84 : 403.50 = 264.48 : x
  2. Step 2: Convert to fraction form
    267.84/403.50 = 264.48/x
  3. Step 3: Cross multiply
    267.84x = 403.50 × 264.48
  4. Step 4: Simplify right side
    267.84x = 106,717.68
  5. Step 5: Solve for x
    x = 106,717.68/267.84
  6. Step 6: Final answer
    x = 398.44

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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.