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Finding the Fourth Proportional to 400.86, 553.25 and 241.33

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Solution

The fourth proportional to 400.86, 553.25 and 241.33 is: 333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.86 : 553.25 = 241.33 : x
  2. Step 2: Convert to fraction form
    400.86/553.25 = 241.33/x
  3. Step 3: Cross multiply
    400.86x = 553.25 × 241.33
  4. Step 4: Simplify right side
    400.86x = 133,515.82
  5. Step 5: Solve for x
    x = 133,515.82/400.86
  6. Step 6: Final answer
    x = 333.07

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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.