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Finding the Fourth Proportional to 463, 639 and 266.48

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Solution

The fourth proportional to 463, 639 and 266.48 is: 367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463 : 639 = 266.48 : x
  2. Step 2: Convert to fraction form
    463/639 = 266.48/x
  3. Step 3: Cross multiply
    463x = 639 × 266.48
  4. Step 4: Simplify right side
    463x = 170,280.72
  5. Step 5: Solve for x
    x = 170,280.72/463
  6. Step 6: Final answer
    x = 367.78

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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.