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Finding the Fourth Proportional to 264.50, 365.28 and 262.70

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Solution

The fourth proportional to 264.50, 365.28 and 262.70 is: 362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.50 : 365.28 = 262.70 : x
  2. Step 2: Convert to fraction form
    264.50/365.28 = 262.70/x
  3. Step 3: Cross multiply
    264.50x = 365.28 × 262.70
  4. Step 4: Simplify right side
    264.50x = 95,959.06
  5. Step 5: Solve for x
    x = 95,959.06/264.50
  6. Step 6: Final answer
    x = 362.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.