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Finding the Fourth Proportional to 463, 638.97 and 266.52

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Solution

The fourth proportional to 463, 638.97 and 266.52 is: 367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463 : 638.97 = 266.52 : x
  2. Step 2: Convert to fraction form
    463/638.97 = 266.52/x
  3. Step 3: Cross multiply
    463x = 638.97 × 266.52
  4. Step 4: Simplify right side
    463x = 170,298.28
  5. Step 5: Solve for x
    x = 170,298.28/463
  6. Step 6: Final answer
    x = 367.81

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