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Finding the Fourth Proportional to 400.20, 551.56 and 282.20

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Solution

The fourth proportional to 400.20, 551.56 and 282.20 is: 388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.20 : 551.56 = 282.20 : x
  2. Step 2: Convert to fraction form
    400.20/551.56 = 282.20/x
  3. Step 3: Cross multiply
    400.20x = 551.56 × 282.20
  4. Step 4: Simplify right side
    400.20x = 155,650.23
  5. Step 5: Solve for x
    x = 155,650.23/400.20
  6. Step 6: Final answer
    x = 388.93

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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.