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Finding the Fourth Proportional to 400.36, 552.89 and 276.34

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Solution

The fourth proportional to 400.36, 552.89 and 276.34 is: 381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.36 : 552.89 = 276.34 : x
  2. Step 2: Convert to fraction form
    400.36/552.89 = 276.34/x
  3. Step 3: Cross multiply
    400.36x = 552.89 × 276.34
  4. Step 4: Simplify right side
    400.36x = 152,781.48
  5. Step 5: Solve for x
    x = 152,781.48/400.36
  6. Step 6: Final answer
    x = 381.62

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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.