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Finding the Fourth Proportional to 401.05, 553.43 and 235.28

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Solution

The fourth proportional to 401.05, 553.43 and 235.28 is: 324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.05 : 553.43 = 235.28 : x
  2. Step 2: Convert to fraction form
    401.05/553.43 = 235.28/x
  3. Step 3: Cross multiply
    401.05x = 553.43 × 235.28
  4. Step 4: Simplify right side
    401.05x = 130,212.98
  5. Step 5: Solve for x
    x = 130,212.98/401.05
  6. Step 6: Final answer
    x = 324.68

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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.