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Finding the Fourth Proportional to 268.72, 405.68 and 267.28

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Solution

The fourth proportional to 268.72, 405.68 and 267.28 is: 403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.72 : 405.68 = 267.28 : x
  2. Step 2: Convert to fraction form
    268.72/405.68 = 267.28/x
  3. Step 3: Cross multiply
    268.72x = 405.68 × 267.28
  4. Step 4: Simplify right side
    268.72x = 108,430.15
  5. Step 5: Solve for x
    x = 108,430.15/268.72
  6. Step 6: Final answer
    x = 403.51

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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.