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Finding the Fourth Proportional to 270.79, 406.40 and 268.76

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Solution

The fourth proportional to 270.79, 406.40 and 268.76 is: 403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.79 : 406.40 = 268.76 : x
  2. Step 2: Convert to fraction form
    270.79/406.40 = 268.76/x
  3. Step 3: Cross multiply
    270.79x = 406.40 × 268.76
  4. Step 4: Simplify right side
    270.79x = 109,224.06
  5. Step 5: Solve for x
    x = 109,224.06/270.79
  6. Step 6: Final answer
    x = 403.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.