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Finding the Fourth Proportional to 400.28, 553.03 and 301.86

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Solution

The fourth proportional to 400.28, 553.03 and 301.86 is: 417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.28 : 553.03 = 301.86 : x
  2. Step 2: Convert to fraction form
    400.28/553.03 = 301.86/x
  3. Step 3: Cross multiply
    400.28x = 553.03 × 301.86
  4. Step 4: Simplify right side
    400.28x = 166,936.88
  5. Step 5: Solve for x
    x = 166,936.88/400.28
  6. Step 6: Final answer
    x = 417.06

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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.