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Finding the Fourth Proportional to 401, 553.38 and 263

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Solution

The fourth proportional to 401, 553.38 and 263 is: 362.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    401 : 553.38 = 263 : x
  2. Step 2: Convert to fraction form
    401/553.38 = 263/x
  3. Step 3: Cross multiply
    401x = 553.38 × 263
  4. Step 4: Simplify right side
    401x = 145,538.94
  5. Step 5: Solve for x
    x = 145,538.94/401
  6. Step 6: Final answer
    x = 362.94

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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.