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Finding the Fourth Proportional to 268.30, 401.09 and 265.60

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Solution

The fourth proportional to 268.30, 401.09 and 265.60 is: 397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.30 : 401.09 = 265.60 : x
  2. Step 2: Convert to fraction form
    268.30/401.09 = 265.60/x
  3. Step 3: Cross multiply
    268.30x = 401.09 × 265.60
  4. Step 4: Simplify right side
    268.30x = 106,529.50
  5. Step 5: Solve for x
    x = 106,529.50/268.30
  6. Step 6: Final answer
    x = 397.05

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Why These Related Problems?

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